I just started my journey into Home Automation, and I think I am starting to understand better what Matter actually signifies...

So, Zigbee is just a communication protocol, and the definition of smart devices is actually done by ZHA, Zigbee2MQTT, etc... correct?

So Matter actually reduces all those Zigbee sub-protocols into one thing, so one Matter bulb will be always compatible, you don't need to pick like we do now with ZHA, Zigbee2MQTT... correct?

And then, the Zigbee communication is substituted either with Thread (basically Zigbee technology but for Matter) or Wi-Fi. But the smart device definition is still Matter, so a bulb will always behave like Matter specifies, in terms of variables and parameters.

Am I getting close?