I don't think you are correct on that. Article I, Section IV, Clause 5 says that consent of both houses is needed to adjourn for more than three days. It should follow that consent of both would be needed to cut the adjournment short. Neither Boehner or Reid can do it on their own.
The constitution does not restrict Waldo Boehner from conducting a
press conference and demanding a vote.
Where in the world is your buddy Waldo Boehner?
Does not follow. They can consent to adjourn because they can vote on that when they are in session. When they are not in session, they have no mechanism for voting and consenting on anything including calling themselves into session. The Speaker has that power for the House. For the Senate, I suspect it is technically the President pro tem (Leahy) or VPOTUS but the Majority Leader effectively calls the shots and asks them to do so.