I can write a EULA that requires you to sign over the rights to your firstborn child, your soul to the devil, and any other nonsense that I could come up with[0].
That doesn't mean that it's actually legally enforceable. Certain clauses have been deemed nonenforceable by law in contracts[1], so just because it's in the EULA doesn't mean it's valid.
Also, just because it hasn't been deemed nonenforceable previously doesn't mean that it is valid either; it has to be tested (as with all law).
That doesn't give a definitive answer either way, except to say that just because it's in the EULA doesn't mean it's permissible, either morally (subjective) or legally (objective, or at least "objective").
[0] http://www.out-law.com/page-10929
[1] The ones that people on this site may be most familiar with are noncompetes and/or invention assignments (in certain states - these particular examples are actually more hazy than most people think, but that's a separate matter). Other extreme examples would be contracts that make a person the legal property of another person (e.g. in many/most countries, you cannot enter into "consensual slavery" with a legally binding contract).