Doing the same thing over and over and over and expecting different results is the text book definition of insanity
Here is how the game has been played in DC for over 2 decades now.. The US House GOP is told “oh you have to only pass bills that the Senate will vote for and the White House will sign”.
The result is the House GOP consistently passes hard Left Democrats Legislation to “get things done”. The Democrat get all the political benefits while the GOP gets all the blame from the voters. This game has got to stop being played by the GOP. This is a chance to do that.
This is a chance for the GOP to start actively using the power of the US House to say “You want something done Senate? You want something done White House? Here is what we passed. Either vote for it or reject it. We have done our job.”
They stopped saying that the moment they had the house, senate, and a GOP president (Trump) in the white house. Then it became 'you will pass nothing'. Then Biden came back and it went back to 'find a way to get things done'
Everything you say is correct but the fundamental problem IMO is that the GOP doesn’t really want to lead. Ever. The party’s culture and DNA is one of weakness, appeasement and caving. I just don’t see that changing regardless of who they ultimately choose as Speaker.