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
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Dogean Adjustable Mount for Nintendo Switch Joy-Con and iPhone with iOS 16 Joy con attachments Adapter Switch Joy con Controller Holder Compatible for iPhone with ios16 : Video Games
The Wonderful World of Switch Joy Con Mods, Page 4
Native support for Nintendo Switch Joy Cons is here with iOS 16 - news
Dogean Adjustable Mount for Nintendo Switch Joy-Con and iPhone with iOS 16 Joy con attachments Adapter Switch Joy con Controller Holder Compatible for iPhone with ios16 (Black) : : Video Games
Apple iOS 16 and iPadOS 16 (2023): How to Download, New Features, Supported Devices
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The Wonderful World of Switch Joy Con Mods, Page 4