The white horse without a bow is the beginning of the papacy and he uses cunning, deception, etc., to gain power. This will continue until the next church period (~800AD) when he will use the destructive powers mentioned in the red horse… The relationships are amazing!
The rider on the white horse in Revelation 6:2 has nothing to with the papacy.
You say the rider does not have a bow. But the text says the rider has a bow.
Revelation 6:
2 And I saw, and behold a white horse: and he that sat on him
had a bow; and
a crown was given unto him: and he went forth conquering, and to conquer.
The verse is talking about the coming Antichrist. Riding a white horse in the verse because he will be perceived to the messiah. The crown that he will be is give that he will be anointed the King of Israel, by the false prophet person who the Jews will initially think the false prophet person is Elijah spiritually speaking.
The Jews (Judaism) as one their traditions, at their annual Passover meal set a plate for Elijah, to symbolically represent their expectation of Elijah coming to take part in the beginning of the messianic age.
The Jews (Judaism) have a belief that the messiah will be anointed the King of Israel by a "known" prophet - to use their words.
The events of the end times have a Jewish flavor to them, not the papacy. The temple to be built and animal sacrifices started again - is a Jewish desire - not that of the papacy. And the stopping of the animal sacrifices will be by the Jews' thought-to-be messiah, the Antichrist, when he reals himself to be the man of sin - and not the messiah as the Jews will have in error thought for a short time.
CTK, you need to give up on that papacy is the little horn, rider on the white horse, notion. The person will be a Jew and not in a Christian role.