Yeah, abrasives that don't break down fine enough to leave a ready-to-wax finish will, by their nature, leave hazing. This usually happens more with a PC than with a rotary, which can better break them down. A product that hazes with a PC might not with a rotary.
Using a PC/Cyclo, I've had hazing from:
1Z Ultra/Extra (significant), 1Z PP (minor), 3M PI-III Extra Cut (extreme), PI-II FCRC (moderate), PI-III RC (minor), Meg's #80 (significant but rare, only happened once on rather fresh paint), Griots' Machine Polish #1 (minor), Meg's #83 (significant).
Key, most to least hazing: extreme, significant, moderate, minor