The main reason republicans are able to get better results from a filibuster than the democrats is republicans don't give a shit about the consequences.
When there is a lapse of government funding it causes chaos in a lot of programs that tens of millions of people depend on. Even if it's just a day, the government spends weeks preparing for it and when it's over it's not like flipping a switch and everything goes back to normal, there is a long recovery period. Even getting close to a lapse results in wasted effort preparing for the possibility which takes away from running the programs and harms people.
For republicans that's an added benefit to a point, not something to be avoided so they will hold out until they get a large portion of what they want. Democrats have to weigh the pain and suffering from a lapse against getting concessions so their thresholds are different.
But as absentbird said, that doesn't really apply here because rescission isn't something that democrats are going to use often.