EO. May require a rotation for efficiency.
F2L-1slot. 3-gen. No rotating.
CLS - 2-gen. No rotating (except for a few cases, really).
PLL - no rotating (1-look PLL recog, alg, AUF)
See a trend? No rotating.
Basically, I've noticed that I usually spend far too much time rotating in CFOP and other method solves, so now I plan to jump all the way to the other extreme.
IMO one of the EO's advantages is having LL piece orientated and doing oclls seem to be a waste for me (it's not necessarily slower though...)