So, for the record, I no longer play PPSC. I won't comment on PPSC vs WTA; I'll just say WTA in a Solo situation is strictly preferable over a PPSC in a Solo situation.
The question here is Centre Number vs Player Number based drawing methods. I prefer the Player Number based drawing methods.
1) Rewards for being essential to the stalemate, no matter how small.
-If they are excisible, other players should have to prove it by actually excising them.
-Being essential obviously should be rewarded as any other essential member. There are not "more essential" powers in a draw (insert obligatory Animal Farm reference here)
2) Punishes those who can't close the deal
-If someone doesn't solo, they don't win and should be treated equally
-Due to the rules and the map, there are certain aspects of this game that make getting to 17 MUCH easier than getting to 18, sometimes the former is mathematically certain while the latter is impossible. Treating it as a monotonic gradient would be wrong
3) X points / N players, not only shown above to be philosophically fair and consistent, is fairly obvious. It's not obvious how the Centre to Points transformation should be (Sum of Squares? Linear? etc)
4) Evens out country allocation
-Some countries can eat into others better; Imagine a Turkey that can just keep taking centers until the other players behind a stalemate only have their essential dots left.
5) Player count is non-arbitrary. Centre count can be pretty arbitrary.
-If a game is drawn with 4 players, it's hard to argue its obvious or easy that it should have been 3 players.And it seems obvious that each player is worth less, since they could not eliminate each other, and thus combine these observations and it seems logical the 3-way draw should reward more than the 4-way draw; the player count is non-arbitrary.
-If a Turkey draws with 12 compared to 11, or a France with 9 instead of 8, it's non-obvious or easy to argue the T12 or the F9 should be more rewarded than the T11 or F8 respectively. Those center count differences are most likely arbitrary or artificial to how the game played out.
6) Player Number method rewards and incentivices small powers to keep playing seriously. The opposite is in Centre-based methods
-This isn't just theory craft, I've gone to tournaments with C-Diplo or DeTour scoring that is heavily Centre-based and when you survive with a small amount of Centres and prevent the solo and get shat on when it comes to rewards it's extremely demoralizing. I know one of the reasons points and PPSC were introduced in the first place was to incentives people to keep playing, even when their power was small or losing, and I don't think this draw system would keep in that spirit.
These points aren't deductively proven, but they're how I see and think about the topic.
@orthaic) I disagree that we should simply allow lots of different game-types. I'm not saying we HAVE to only have 1, but I'm very worried about splintering the community. Especially for live games its hard enough to get a game going with two point-types, if there were three/four it would only fragment the player base more. Regardless of what those types are. My two cents on that topic.