Yes, really! Take a look at Acts 21, which you quoted in an earlier post concerning Paul.
Acts 21:24Them take, and purify thyself with them, and be at charges with them, that they may shave their heads: and all may know that those things, whereof they were informed concerning thee, are nothing; but that thou thyself also walkest orderly, and keepest the law. 25As touching the Gentiles which believe, we have written and concluded that they observe no such thing, save only that they keep themselves from things offered to idols, and from blood, and from strangled, and from fornication.
Clearly there were different burdens put on the Gentiles than the Jews. In Acts 21:18 it say James and all the elders were present. There is no specific list of what the burden was for the Jews after the cross but we know it was different than the burden for the Gentiles.
Paul vs James, exactly the Judaizer controversy of the early church saying
you must be circumcised and keep the law of moses.
None of that was from the Holy Spirit for the New Covenant, it was their own customs and culture. Paul rebuked them in the church letters, and also rebuked Peter strongly.
Maybe this will help you understand for the Jews about the gospel. It is not required by God for Jews to be circumcised, keep the law of moses, and keep the customs to be pleasing to God and be saved. Paul had not met James until this time, and had not yet figured out what was going on with His bad doctrine.
Romans 10, here Paul describes the truth of the gospel of Christ for the Jews.
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Israel Needs the Gospel
10 Brethren, my heart’s desire and prayer to God for [
a]Israel is that they may be saved. 2 For I bear them witness that they have a zeal for God, but not according to knowledge. 3 For they being ignorant of God’s righteousness, and seeking to establish their own righteousness, have not submitted to the righteousness of God. 4
For Christ is the end of the law for righteousness to everyone who believes.
5 For Moses writes about the righteousness which is of the law, “The man who does those things shall live by them.” 6 But the righteousness of faith speaks in this way, “Do not say in your heart, ‘Who will ascend into heaven?’ ” (that is, to bring Christ down
from above) 7 or, “ ‘Who will descend into the abyss?’ ” (that is, to bring Christ up from the dead). 8 But what does it say? “The word is near you, in your mouth and in your heart” (that is, the word of faith which we preach): 9 that if you confess with your mouth the Lord Jesus and believe in your heart that God has raised Him from the dead, you will be saved. 10 For with the heart one believes unto righteousness, and with the mouth confession is made unto salvation. 11 For the Scripture says, “Whoever believes on Him will not be put to shame.” 12 For there is no distinction between Jew and Greek, for the same Lord over all is rich to all who call upon Him. 13 For “whoever calls on the name of the Lord shall be saved.”
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Galatians 2:14 see here Paul calls these Jews HYPOCRITES, the Jews could not keep the law and customs, no one could so telling gentiles to keep what they could not keep showed their hypocrisy as they were not teaching the truth about the gospel. All of that was a yoke on their necks neither they nor their father were able to keep.
As far as the quote it seems good to us and the Spirit' well they were partially mistaken. They were correct saying what they did for the gentiles, but they themselves had not yet fully realized their own hypocrisy. Jewish customs were not required of the Jews by God. Scripture records their own words, not God's words there.
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No Return to the Law
11 Now when [
d]Peter had come to Antioch, I [
e]withstood him to his face, because he was to be blamed;
12 for before certain men came from James, he would eat with the Gentiles; but when they came, he withdrew and separated himself, fearing [f]those who were of the circumcision. 13
And the rest of the Jews also played the hypocrite with him, so that even Barnabas was carried away with their hypocrisy.
14
But when I saw that they were not straightforward about the truth of the gospel, I said to Peter before
them all, “If you, being a Jew, live in the manner of Gentiles and not as the Jews, [
g]why do you compel Gentiles to live as [
h]Jews? 15 We
who are Jews by nature, and not sinners of the Gentiles, 16
knowing that a man is not [i]justified by the works of the law but by faith in Jesus Christ, even we have believed in Christ Jesus, that we might be justified by faith in Christ and not by the works of the law; for by the works of the law no flesh shall be justified.
Relevant chapter
Acts 21
17 And when we had come to Jerusalem, the brethren received us gladly. 18
On the following day Paul went in with us to James, and all the elders were present. 19 When he had greeted them, he told in detail those things which God had done among the Gentiles through his ministry. 20 And when they heard
it, they glorified the Lord. And they said to him, “You see, brother, how many myriads of Jews there are who have believed, and they are all zealous for the law; 21
but they have been informed about you that you teach all the Jews who are among the Gentiles to forsake Moses, saying that they ought not to circumcise their children nor to walk according to the customs. 22 [
d]What then? The assembly must certainly meet, for they will hear that you have come. 23 Therefore do what we tell you: We have four men who have taken a vow. 24 Take them and be purified with them, and pay their expenses so that they may shave
their heads, and that all may know that those things of which they were informed concerning you are nothing, but
that you yourself also walk orderly and keep the law. 25 But concerning the Gentiles who believe, we have written
and decided [
e]that they should observe no such thing, except that they should keep themselves from
things offered to idols, from blood, from things strangled, and from [
f]sexual immorality.”