One of the great features about HA is the flexibility to handle just about anything. I really don’t have any Matter devices, except Apple specific, but those are very gradually appearing. I have both Zigbee and z-wave meshes for local control, but can easily add a Thread radio (or my Zigbee one can supposedly be re-flashed). The foundations are mostly there, the flexibility and integrations are there: we just need the standard to mature and the devices to appear, but HA is a great start