1) No. I don't play any more. I do, however, play Dota and CS:GO, on occasion.
2) I lived in wormhole space. You're describing null bloc fights.
3) You're describing null bloc fights, again. We would get multiple fights per day. More than we could reasonably take, really.
4) The thrill in Eve, for me, is that is takes skill to pull off anything noteworthy. It's like a 4X version of Dark Souls, with the multi-person coordination requirements of a MilSim.
As someone who was in one of the best low-sec/0.0 pvp corps for several years, I completely agree with you. Theres no other game that quite matches the feeling of dancing around each other until someone manages to pin an important enough target down long enough that both sides have to commit to the fight. PVP between small to medium sized gangs in EVE is the best PVP I've ever participated in.