Sometimes these login portals accept any old bogus email or burner account. They were logging your IP anyway so realistically doesnt add any more compromised dafa
I'm gonna assume that by IP you mean MAC address because your IP is something that gets negotiated with the AP when you connect, changes every time you connect and can't really be linked back to your device at a public AP. In that case, the right move is to enable MAC randomization and connect through a VPN if you need to hide who you're talking to or just rely on TLS if you don't care that they know who you're talking to and only need to hide what was said.