I use an Audio Research Reference 160 amp. It has UltraLinear (140wpc) and Triode mode (75wpc). I and everyone else who has listened to it have chosen the Triode mode. There seems to be no effect on the dynamics or loudness, but the sounds in triode mode is more natural and fleshed out.
I think it is likely if you are close to not having enough power then the relationship between the tradeoffs would change.

