You can split it in a variety of ways, but I think the Green will be fine if you're using Whisper and Piper.
If you want to run something with an OpenAI compatible API on another machine, that will work as well, and I believe they are expanding other API interfaces. Basically, if you have something capable of responding in the way HA wants for it's intents, you can do that. Your network roundtrip may not make it faster to respond though.