I find 05937 is sorta like #80 only without the initial abrasiveness that #80 has and without #80's trade secret oils. I haven't really used all that many products to compare it with (I find something and stick with it forever) but I'd just call 05937 a very mild, general purpose polish. It *will* remove light marring by hand/Cyclo/PC. With the rotary I've done some more serious correction with it.
It takes a little while to break down completely but it;s usually not a big deal if you wipe it off too soon since it's pretty mild. Don't work it dry. Hard to say just how long you oughta work it, but IMO it's easy to get the hang of. The way it doesn't instantly mar soft paints can be a real plus.
Some people (who have experience and know what they're doing) have had light holograms from it when used with the rotary. Not every time, but sometimes :nxweiss I'd just always do a follow-up with the PC/Cyclo- it's too mild to leave *serious* holograms that would be a pain to get out.
If you use it to cut through a very healthy LSP (e.g., multiple layers of KSG) it can make for a gummy mess, so use an alcohol wipe first if in doubt. It can stain textured black plastics if allowed to dry on them but isn't bad in this regard if you wipe it off right away. I like to keep some #34 handy when I use this stuff, and I buff it off with plush MFs.
Don't really know what else to say about it. I'd hate to be without it so I've stocked up.
On some of the other topics that are on this thread, not :argue just my experience:
A lot of how #80 behaves is how it's used. Not running the machine too fast can sometimes make it *more* aggressive as the abrasives do their thing longer before they break down (sorta like 1z polishes in this regard). #80 seems to either work for people or not, depending in part on what they expect of it.
3M PI-II FCRC has just a *little* more cut than PI-III RC (05933). I dunno about their claims of "taking out 1200 scratches", you'd have to really work at it with a rotary for that kind of performance. Both these 3M RCs work OK by hand/PC/Cyclo as well as rotary (more than you can say for the aggressive Meg's products

) and are *not* so aggressive that you have to really watch it with them. 99% of the time I'd feel comfortable taking them to most any finish with no worries that they'd be too aggressive and if anything my work would go faster with a more aggressive product. I use them on single stage fairly often and the 05933 is pretty much my go-to product for real correction (in drastic cases I get out the PI-III Extra cut 05936...sorta scary stuff that). Sometimes they'll both finish out almost well enough to just go to wax, but I'd always use something like the 05937 or #80 after them anyhow.