Is John Boehner's majority of the majority rule an abuse of power?

If you are a Republican, consider the possibility of a Democratic Speaker of the House imposing the same rule.

In the recent government shutdown, Boehner’s big concession was simply to permit a vote on what had sufficient bipartisan votes to pass.

In the most extreme case, where one party had just over a majority, the majority of the majority rule would allow just over a quarter of the House to prevent a vote on a bill favored by the remaining three quarters. This does not seem right.

The problem is that there is no simple solution. We need someone to prioritize what gets voted on. Otherwise, votes on trivial matters could prevent votes on things that are more urgent.

Does the Senate majority leader have the same authority?