cd /storage/.config
cp /etc/connman/main.conf connman_main.conf
sed -i 's/TetheringTechnologies = wifi/TetheringTechnologies = wifi,ethernet/g' connman_main.conf
reboot
<ssh in again>
connmanctl tether ethernet on
^ This enables Ethernet tethering. You can now connect the RPi4 to the Hotel WiFi and connect to the RPi4 using an Ethernet cable connected to a laptop. The laptop will obtain a private IP from the RPi4 to browse the Internet; which will be blocked, but you'll be prompted for access details that you can enter in the laptop browser. The Hotel WiFi then sees (and remembers) the MAC address of the RPi4, so as long as you remain a guest (or until you're forced to reauthenticate again) you can remove the laptop and use the RPi4. To remove the tether, SSH to the RPi4 and run "connmanctl tether ethernet off" - the RPi4 will be on the .1 address of whatever private subnet is used for the tether.
If no laptop, there's no way around the problem.