It doesn't work like that unfortunately. I too played around with these multi and Bluetooth for a while, but this is a completely different tale. A communication standard is just a communication standard, it doesn't mean any compatibility with management systems. And even if it turns out that something works with something, the stability and sometimes also the integrations are different. For me it is a waste of time, it is better to decide on a specific environment, designed specifically for home automation and select the hardware, then you can play around. For Bluetooth you can possibly think about BLE.
In addition, Bluetooth has a much shorter range, even in a small flat with more solid walls it can make communication impossible. With WiFi you can put additional access points, for BLE I know that there is also such a thing, but it misses the point in my opinion. This is why I opted for Zigbee.
And coming back to my question and the author's - so no one had experience with these gateways what I threw in? There is a large selection of various TUYA relays and terminal devices in PL, but if I am looking for a gateway and still with an Ethernet socket, it is basically only these 3 models. In this case, it remains to test it yourself.

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Greetings.