It's still Siri. Apple intelligence plus ChatGPT really didn't improve it. The speech to text is still as bad as ever. If you want to use it with ChatGPT the best way is "Siri open ChatGPT voice" which worked fine on my iPhone 12.
I will be (pleasantly) shocked if this is any improvement. They've been talking about Apple Intelligence, App intents etc for years with very little actual progress.