I don’t think forced arbitration has really been tried in court. I remember Disney kind of trying, but it was completely unrelated (e.g. argued that arbitration agreement from Disney+ applied to issues on physical Disney properties).

In order to hold up in court, the contract needs to reasonably benefit both parties instead of only the contract issuer. So there’s a very good chance a court will dismiss the forced arbitration clause, especially if it’s just in a EULA and not a bidirectional contract negotiation.

That said, I tend to avoid services with binding arbitration statements in their EULA, and if I can’t, I avoid companies that force acceptance of EULA changes to continue use of the service.