If you want unity-gain-stable then internal
comp is almost certainly necessary. Unless
it's an OTA, then shunt-C outside, on the
output is primary comp.
Some op amp families would bring out
10X gain stable versions for a different cut
at the trade-offs.
Sometimes more than one pole or two
are necessary. I've looked at some op amps
which have odd little caps in places you
wouldn't think, for reasons that I don't
understand (would have to get a live circuit
to simulate to explore). Maybe to get some
helpful zeroes.