When I say bumping the new belt on with the starter, I mean getting the belt on the crank puller and then as much as you can on the ocmpressor pulley, then bumping the starter to make the engine finish the job. It's an old trick and I will state the usual use it at your own risk disclaimer. Any good trick has its drawbacks, I'd hate to see someone lose a finger because they did something stupid like held the belt in place while someone bumped the starter for them.
Loosening the bolts doesn't work on my a/c compressor, and I'm not interested in removing the whole piece to out a belt on. It's up to you.