You can use microphones wherever with HA and Rhasspy. Rhasspy is just the local voice and intent recognition portion, and HA executes the commands. This means you can have one Rpi in your place managing devices, and then have many different microphone-attached Rpi all over your house forwarding voice recognition intents to do whatever you want it to do. Whatever the mic is attached to will send to the HA instance and tell it what to do. No cloud.
You can use microphones wherever with HA and Rhasspy. Rhasspy is just the local voice and intent recognition portion, and HA executes the commands. This means you can have one Rpi in your place managing devices, and then have many different microphone-attached Rpi all over your house forwarding voice recognition intents to do whatever you want it to do. Whatever the mic is attached to will send to the HA instance and tell it what to do. No cloud.