Depends on jurisdiction. Inside the EU, the EULA is not a valid contract and gives RED no rights to anything.

This is true of any and all "license agreements" that are presented to the user after money has changed hands. You can safely click agree on any such things without actually agreeing to anything.

I don't actually know, but I believe that in the US things are more complex.

Do you have a reference for your claims, inside EU...?

It sounds reasonable to me personally, but not convincing in reality. There are 27 legislations in the EU.

Edit: Based on a quick web search it seems correct for Germany and Austria.

At least under German consumer law clauses that are suprising and harmful to the rights of the consumers have been repeatedly declared void and unenforceable by the courts.

However, in this price class I could have my doubts whether consumer laws are applicable. Businesses are less protected, they are supposed to know what they do.

The question was about European laws. There mostly is no such thing (very few exceptions exist, like e.g. GDPR). Laws are national, so you have 30 of them. EU directives set some borderlines for those who are members or associated. But they are not always implemented in a timely manner, and even if they are the details are up to national legislation by design.