The controller is the same thing and not revolutionary. They simply got better hardware but overall won't be fully optimized because developer will benchmark with PS5 specs in mind.
The Xbox controller is actually better, IMO. A lot of the PS5 controller features are very gimmicky - people are already turning off the adaptive triggers, as noted above. It took them two weeks to get over it lol. The only interesting thing is the mic, and if my friends was any example, the mic is about the quality you would expect from a controller.
The Xbox One controller felt so much better than the PS4 controller, and while they kept the same formula, it feels a lot better. The little grips, the size, the feel of the triggers and bumpers, everything feels first class.
Xbox is the more powerful console, that can't really be debated. The PS4 had better exclusives, but Microsoft is buying studios. Don't forget Microsoft bought Bethesda. Best case scenario for PS5 users is they still get to play future Bethesda titles on their console, just without modding, DLCs, play them on launch day and possibly at a capped performance. Worst case scenario is Microsoft decides to make them Xbox exclusives and the next Elder Scrolls, Fallout, Doom, Dishonoured and Starfield are not on the PS5 console.
Plus, Xbox offers GamePass. By paying for my Xbox Live for two years upfront, I was able to upgrade to Gamepass for $1 until 2023 - which has a great collection and will only get better value when any first-party games (including Bethesda games) are added to Gamepass on launch day. Playstation's comparison, PS Now, was featuring NBA 2k18 as one of their big games on their main page a month ago.