I bought the 13 Pro for better battery life and I am indeed happy with that, but I cant tell if its faster than the iPhone 12 Pro, people are just to hung up on stats when in real life on a phone they mean very little in performance.
Right, but why do you think the 13 Pro has better battery life than the 12 Pro? A lot of it is because the A15 is more efficient - it gets more done per unit of energy than the A14.
Or to put it another way, the speed gains may not be noticeable to most users, but that gain also means it's using less energy to do the same work, and the battery life gains sure are noticeable.