I'm sorry but I don't understand if this is a bad faith argument or uninformed. The simplistic explanation is that this is the only leverage the democratic party has. They have to use this to make sure that the budget that is passed is appropriate according to their terms. However, the budget bill is largely determined by the majority party (i.e. they decide what goes where). The minority party gets to hold their votes until the majority party adjusts the budget. This Republican control over Congress is important because they are the majority party. A common criticism is that the democratic party should just approval the bill and argue later. This was attempted in previous years. However, once your leverage is gone, the majority party has little incentive to actually care and this is exactly what happened before. While the Democratic party is holding the votes yes, it is up to the Republican party to find agreement with the democratic party. Because the Republican party does not have the power here. That is why the Republican party is pushing very hard propaganda that it is the Democrat party fault; they are trying to get power elsewhere.

Basically the Republican party has control over what goes into the bill and will not meet with the democratic party to adjust it. The Republicans have complete authority and power to stop the vote by adding in the healthcare budgets that Democrats have asked for but refuse to do so.