Correct. The GOP has the ball - if you want to play, you have to go to them.So, even if the Minority Leader, Nancy Pelosi, did have a debt limit plan of her own that House Democrats supported, it would NEVER make it to the House floor. Only Speaker Boehner and his crew can do that per House rules.
See, there's a good number of GOP Congressmen who are perfectly OK with not raising the debt ceiling, enough so that any hike cannot be passed w/o their support.
OTOH, the Dems/liberals cannot imagine life w/o the government being able to borrow - as if THAT doesn't say someething - and so, if they want to get that hike, they have to present a deal that those who are happy to not raise the limit will accept.
Apparently, this has yet to happen.