At this point, this bill is a good idea simply because there is so much disagreement over whether or not it can pass. As long as conservatives believe such a bill can pass, they won't vote for anything less. Why should they?
Now, if this bill cannot get significant cosponsors, or loses such a vote, then maybe we can reset.
Although maybe the most likely scenario is that it passes, then dies in the Senate, and all that time gets wasted because the House will be waiting for Senate passage.