robots.txt prevents real time search use for grounding and citations.
If you are on a Mac or Linux computer, odds are it has a program called curl pre-installed. If you type in curl website address in a terminal, it'll fetch make a request and download the response. Robot.txt never gets involved. Same is true for AI agents and search engines that aren't polite.
Regardless - requiring an account to read anything, even a "free" one, totally changes whole situation. Even when sites terms of service are limited by local law.