That's not how leadership works in Congress.
Considering the minority runs the upper chamber and the lower chamber is almost toothless at this point, that's exactly how it works. It's more a function of the people who are there and not the system, of course. We've seen the majority cave on much more important issues that cost less money, so why wouldn't the democrats shut things down to preserve CPB funding if it came to that? They could do it and get away with it.