IMHO 1´16.4 is pretty good. My personal best is a 1.17.4xx @ ace, no aids, with everything @ default (physics, setup, grip, bhp and so on).
Most people that set times like the 1.13.5 quoted here are hotlappers. That means that the cars setup is tuned to go as fast as possible around that track for
ONE lap. After that the plank is trashed, and there is no fuel.
Since the setup is tuned for ultimate speed, it is usually a b*tch to drive, and 90% or so of any attempts to actually complete a lap ends in an accident. Furthermore, the car is driving to the absolute extreme, being pushed way beyond 100%. Therefore most hotlappers crawl out of the pits and roll in slowmo around the track and save 200 meters before the lap is begun. If they crash, they just reload and try again.
Unless you actually play your game like that (god what a chore in a 78 lap race!!), you would never ever want to drive a qual session or a race like hotlappers do, or make setups like they do. So you shouldn't compare honest attempts @ completing a qual or race session or making a setup with the times that hotlappers set. Maybe with the possible exception of the offline leagues that give you a week and unlimited attempts at posting your final qual time.
It's only after we've lost everything, that we are free to do anything.