The insurance companies want the feds to funnel money to them so that they can lose money on ObamaCare itself, but still come out net ahead because of taxpayer subsidies. And that's exactly what is going to end up happening if the House and Senate don't manage to actually pass a bill.
The House Bill did what Democrats usually do, but it reverse. They passed ObamaCare but didn't have it fully implemented until after the 2012 election. That way, Obama escaped political blowback. It was brilliant.
The House bill gave wishy-washy GOP members some political cover by keeping the Medicaid expansion subsidies in place for a couple of years, but then phasing them out. That was the only way, politically, to get enough votes to actually end it. But for some conservatives who demanded immediate dismantlement, that wasn't enough. Even if it there weren't the votes to achieve it.