I hadn't played a Jem or Universe for years until last week when I played a 7V7. For the record, I'm a 7 string player and former owner of a UV777BK and UV7PWH. However, I've played my fair share of Jems and UV's so I think my perspective is fairly accurate. The 7V7 is a Universe. That was obvious when the specs and photos came out but upon playing it, the neck, while quite difference in appearance felt like my UV777BK. I found the neck to be comfortably thick and the fretboard to be extremely consistent on all strings on all frets.
While the guitar felt like a UV, you want to play it like a Jem. The pickups are a Blaze set but the way the harmonics jumped off the strings reminded me more of Evo's. In my experience, Jems have always sounded great regardless of the pickups; same thing with the 7V7.
If I owned a 7V7, it would probably be the first guitar I reached for; its simply pure fun to play.
If I had $3300 to spend on a guitar, I would not buy a 7V7. At this point in life I'm a bit more utilitarian than when I was younger. Low key with the features I need is what attracts me to certain instruments. There many reasons for this, some good, some political, but these reasons do not change the fact if I had a 7V7 at home, it would be the first guitar I'd reach for.
As for the UV70P and the JEM 70V, research the Jem555BK before you make any decisions. When I was a frequent poster on Jemsite I recall many strong opinions about the Jem555BK and I imagine that sentiment is still here though maybe subdued.