Every wifi router is doing that.
I think the root problem here is that the signalling communication in Wifis happenes (still) unencrypted.
Since this is a TTN forum, let’s turn your question in more TTN related one: Every TTN gateway, which is using the wide spread Semtech packet forwarder, is pushing it’s complete signalling traffic unencrypted via the internet to a LoRaWAN server, regardless if the received packets are intended to be processed by this server, or any other LoRa network. The unencyrpted signalling payload contains a unique DevAddr (is this personal data?) and some other data like exact timestamp and RF parameters which could be used for fingerprinting devices.
Do you think a LoRaWAN gateway is eligible to do that without the need to warn users that it will do so?