The other poster was talking about a fighter vs paladin in 2nd and 3rd tier play. The paladin gets a lot of goodies. That we all agree with. However, the fighter with feats is still better at fighting.You continually give Action Surge and other fighter features far more worth than they merit when those features are not constant. Sure, features such as Divine Smite are limited as well, but with all the slots a high level Paladin has at his disposal, it is more than what the Fighter can do.
You act like having the option to blow through all your short rest resources in a single round at the start of a fight is a bad thing? That's part of what makes the fighter with feats the hands down best class at fighting.Precision is usable at most 6 times per short/long rest, and with Action Surge at 11th level or higher you could blow through all of it in a single round. Being able to dish out the most damage for a single round does not make Fighters (in general, since you have a very specific build in mind) the best at fighting.