Comment by dingwallr
10 hours ago
"To connect the UniFi Travel Router to a guest network, open the UniFi Mobile App and select a nearby wireless network. If the network has a captive portal, it will automatically forward to your mobile device for login."
from the FAQ https://store.ui.com/us/en/products/utr
It likely relies on the travel router cloning the MAC address of your phone or whatever you use to authenticate. That way the hotel just thinks the travel router is your phone.
It’s also (I’d hope) modifying the ttl as that’s used to detect travel routers.