While not advertised on Apple's website, it has been discovered that iOS 16 adds support for the Nintendo Switch's Joy-Cons and Pro
Top 6 iOS 16 new features worth checking out
Steam Client Beta August 4, 2022: Update adds support for Nintendo Switch Joycons
Switch Controller Charger for Nintendo Switch & OLED Joycon Charging Dock, Switch Organizer Station with RGB Lights for TV Dock, Pro Controller, 4 Joy-Cons, 2 Extended USB-C, 8 Game Slots
PXN 9607X Hall Trigger Wireless Controller for Nintendo Switch/ Switch Lite/ OLED, PC, iOS(16 Version Only) - Hall Effect Joysticks Pink
News - iOS 16 Adds Support for Nintendo Switch's Joy-Cons and Pro Controller
iOS 16 just added support for Nintendo Switch controllers
iOS 16 adds Nintendo Switch Joy-Con support
iOS 16 lets you use Nintendo Switch Joy-Con and Pro controllers with iPhone
The Wonderful World of Switch Joy Con Mods, Page 4
Apple iOS 16 now supports Nintendo Switch controllers on iPhone and iPad devices