Deck is a very capable multi-track recorder and editor, with effects. I used it many years ago for music production. It's pretty simple to get your head around, and you should have no problem doing the kind of work you're talking about.

I wouldn't say it was "ported" to the AV machines exactly - it had support for DSPs on Nubus cards, and support for the AV DSP was presumably added some time between v1 and v2. It has some effects native and uses Premiere format (non-realtime) plugins.