Not sure what your trying to do.. Is this purely audio your dealing with? Of course midi can be quantized, that you probably understand. But Audio needs to be "performed" in the pocket. A DAW can turd polish to a point, but basically with audio it's easier to just play over and over until you get it right. I do a lot more of this than is good for me, But oh well that's just me...
If a whole track, every note, is that far off the beat, then your out on a limb for sure. Audio snap seems to be voodoo, but I've used it OK on simple stuff like a kick drum or snare. It makes a mess of guitar tracks etc. Might work on bass, never had to try it I'm a bass player ;)
What it really likes is good strong transients. Like a string section is going to be hopeless for sure.
What I do with a bit of off time stuff ( not mine) . Is to zoom in to see where it's off the time grid, and use the "split" function. Then I slide the offending note or phrase to where it belongs. Make sure to have a back up of the original.
Audio snaps voodoo can make weird sounds I don't like. This method preserves the original audio quality. Make sure you set the Zero crossing thing in editing preferences or??