Shinya Hashimoto was working safe, short, great matches in the early 90s. That's my NJPW GOAT.
Actually I'd argue WWE started having shades of their current style as early as '09. Sheamus was already in the scene working great TV, Christian was the ECW GOAT, Sydal was having a great fun run, Jericho was having the last of his great matches in WWE against Rey... In regards to the product having a slower pace, I would argue that the biggest offender wasn't Batista or Cena, but Triple H. Easily the worst main eventer WWE has had from an in-ring perspective, and to think he was having Wrestlemania Main Events as recently as 2016 is baffling. It was baffling then, it is baffling now.
Having Bryan Danielson helped accelerate the process to a more workrate-centric style, closer to what they have now, but it seems to me that some of the talent there (Ziggler, Kofi, Sheamus) would already take the scene, at least the midcard scene, in that direction.