It raises a couple of interesting thoughts. First, since House Republicans for the most part have been insulated by gerrymandering from losing their districts, it is surprising and frustrating that the house has not been more aggressive not only with respect to Obamacare but with respect to holding hearings etc.
Boehner's entire methodology in this Congress has been rope-a-dope as though he were protecting the Senators or looking ahead to a presidential election two cycles away. Politics like wars are not won on defense or by passivity.
A second interesting thought arises in that your point demonstrates how changing the venue changes the result and that implies that a convention of the states pursuant to Article V would probably have an entirely different culture than the Senate and even different from the House. There is some encouragement in the thought that an Article V convention might just have a different complexion than many of us assume.
That is assured. States will not send representatives. They will send delegates with commissions. For similar reasons, the federal convention of 1787 shared little in common with the existing Continental Congress.