They really are drones. There are dozens of articles available from various right-wing media outlets (yes, that now applies to the Washington Post) that all make the same basic argument that the House procedural move (deem and pass) might be unconstitutional and will allow Democrats to avoid admitting that they voted for noxious elements of the Senate bill.
If I vote for a bill that contains something I don’t like (say, the Cornhusker Kickback) and then vote immediately thereafter to remove that provision so that it never lands on the president’s desk, in what sense did I vote for it?
It doesn’t matter if you do it in one vote or two, because Republicans will blame you for voting for something you expressly voted against either way.