The TSF Lori is hotter. I mean look at her .
The Lori from the JJ2 ending looks more, idk... goofy.
So yeah, I count the TSF Lori as the real Lori, and the JJ2 ending Lori as 'Whatsername' who does end up as Spaz's GF in future games.

My theory on why Lori doesn't look like Jazz or Spaz is that Lori looks more like one of their parents, and Jazz and Spaz look like the other one. As for the diffirent fur, I like to think that Lori is orange, and that one of their parents has, partly, orange fur (red and orange like Spaz or green and orange), and that the other one is either just red or just green ( or just orange, so the other one is actually green and red). COMPLICATED!!!

A movie with the stuff from the first game is the way I see the Jazz movie, and the sequel to that would be a movie with the JJ2 story, but with Lori in it.