Off the top of my head, I don't know, but I'd think so. On the Sunn, the Bass Boost switch overrides a rolloff below 80Hz. That is, the amp normally rolls off reducing the bass content below 80Hz. That can be a good thing. Gives you a cleaner sound, frees up some power, reduces distortion. Switch in the boost and the amp is pretty much flat down to 40Hz, which can be troublesome with some speakers.
On the Fender, the Deep switch might be similar, or it might actually be a boost. I don't know. I do know that I much prefer the sound of my 200S to that of a Bassman I used in rehearsal for a while.