That's a strangely couched question, because it's entirely legitimate to support both.
For instance, I supported the HFC's opposition to the bill, and I also supported the President's decision to move on, and not drag out the negotiations indefinitely in an act of desperation.
Perhaps it would have been better to have a vote, even if it failed, because then everyone would have been on record.
If the question was "Do you support the House Freedom Caucus or Paul Ryan", it would make much more sense, but trying to conflate elements of the legislative branch with the President just doesn't correspond, IMHO.
Don't forget the Freedom Caucus gave the President a standing ovation in their most recent meeting.
So your poll is weird.
It's important to distinguish between rhetoric which is put out for the public's consumption, versus what really happens behind the scenes...
I’m not sure how this poll is wierd. There was no third option in the vote.
Perhaps it would have been better to have a vote, even if it failed, because then everyone would have been on record.
The reason it didn’t go to a vote is that Paul Ryan would have been embarrassed by how few votes it received. Out of embarrassment to himself, he pulled.