If one THINKS that Jesus shed His blood for the new covenant?
I KNOW He did.
Hebrews 8:6 But now hath he obtained a more excellent ministry, by how much also
he is the mediator of a better covenant, which was established upon better promises. 7 For if that first covenant had been faultless, then should no place have been sought for the second.
Do you understand that when this refers to "that first covenant" it's referring to the old covenant, which makes the second covenant the new covenant? Look at what the following says about the new (second) covenant.
Hebrews 10:9 Then said he, Lo, I come to do thy will, O God. He taketh away the first, that he may establish the second. 10 By the which will we are sanctified through the offering of the body of Jesus Christ once for all.
This says God took away the first, which refers to the old covenant, to establish the second, which is the new covenant. How did He do that? By way of "the offering of the body of Jesus Christ once for all.".
So, yes, of course He shed His blood for the house of Israel and the house of Judah in fulfillment of the new covenant.