IANAL, not from the US either. But if you register, you are signing a legally-binding licence agreement. Doesn't lying or giving false information nullify this contract?
For example, if you register on wordpress.org while claiming you have no affiliation with WPE, but you did have any sort of affiliation, they could consider the contract null/void, and claim the access was unauthorised because the contract wasn't valid.
The contract can be null and void but if you can still login, it’s not unauthorized access. The burden is on the company to pursue breach of contract. That’s my reading of the decision but again, IANAL.
For example, if you register on wordpress.org while claiming you have no affiliation with WPE, but you did have any sort of affiliation, they could consider the contract null/void, and claim the access was unauthorised because the contract wasn't valid.