Just to add a little, since you're talking about ROB's as opposed to DA buffers, and bonnets as opposed to pads, the "wool" (simulated) is for "buffing" the wax after you've removed the haze. It's intended to bring up a dazzling, rich, wet, blah, blah, blah look to the paint. Most "modern" synthetic waxes, especially ones found at 'Marts don't require buffing, so the wool bonnet is pointless (unless you didn't get everything off-streaks/smears- and felt that you liked using the buffer ever so much). Or maybe if you were using a "pure" carnauba wax. One caveat is that the synthetic wool *may* cause swirls, depending on quality etc.
If you were to look at the replacement bonnets at the store, Terry is considered the "best" for both applying AND removing wax, whereas the foam is only listed as "better."
Personaly I would go with the foam, as it's safer (IMO) in that it's less likely to cause swirls. The terry might work on oxidation faster, though.
Of course, you could use the excuse of "your hands are shakey/numb from all that machine work" to require more rest time. And beer might calm your nerves, soothe the aches, cool your fevered brow, etc. !