To contest this, Coil was a pretty popular raiding cycle, and FFLOGS wasn't around for that, that I know of. Parsing wasn't even really a thing for much of it. I don't remember it being a big deal. Also, Most raiders I know don't raid for competing against other peoples numbers. They raid for the fun and enjoyment of it. The people competing for "speed clears" is a very small subset of the overall raiding community.
As for how you can determine how good a player is without a parse? Its pretty easy. When you are trialing players, you do content you know. That way you can put yourself mostly on autopilot so you can watch them. If all other players are a known quality, then you can judge how things go based on how long the fight takes. Also, SSS kill times. Theres lost of ways to judge a persons skill without parsing.