I'm sorry. I didn't mean to confuse you.
This is what I meant to convey:
The Lo-Fi is intended as a park board. It can probably do mountain, but it may not be GREAT at it. Having never ridden one, I couldn't really say for sure.
Agent is a men's board, yes. It is a good mix between park and mountain. It is almost twin so it will work for riding switch in the park, but can still handle the mountain.
The Vinyl is pretty much a cheaper version as far as I can tell.
I don't know about the other board, but if it is directional, it won't ride switch very well. Directional boards are intended for all-mountain riding.