It was their right to block it.
They hold the House Majority.
Who holds a "majority" or who belongs to what "party" is completely irrelevant.
Here's what's relevant:
- Does the POTUS nominate a candidate for SCOTUS? Yes.
- Does that candidate then get assessed and approved or disapproved by the Senate? Yes.
- Did the President duly nominate that candidate? Yes.
- Did the second step happen?
Feel free to show us in the Constitution where it says anything about the Senate shirking its responsibilities if some political party has a "majority". Or because "we might have better chances if we wait for the next election".
So no, they have no "right to block" it. They had the right to disapprove if such disapproval was warranted, in which case the nomination would end.
But they didn't do that, even with a "majority". My question still is ----- why were they afraid to do that? Were they afraid of what the People would have found out about the nominee? Were they afraid they wouldn't come up with enough to disapprove of? Sure looks like it.