They have a public interface. I'm using it without agreeing to anything. They can't make me agree by presenting me with checkbox. They can't prevent me from using their interface if I don't agree. On the other hand I can't make them actually publish the information I entered or keep them to their word on anything they declare. It's not what lawers like but that's how internet works.
> Given the emphasis placed on a user’s assent, courts favor finding a binding agreement where the user engages in affirmative conduct acknowledging the terms of a TOS. For instance, a genuine clickwrap agreement, in which a service provider places a TOS just adjacent to or below a click-button (or check-box), has been held to be sufficient to indicate the user agreed to the listed terms. In these cases, requiring the user to click “I Agree,” after calling attention to the terms and affording the user an opportunity to review them, demonstrates the user agreed to the terms. However, courts generally do not require that you actually have read the terms, but just that you had reasonable notice and an opportunity to read them.
Finding myself in american court in the second scenario in the list of preferable scenarios right after finding myself in third world country prison. So if I'm there I consider myself already gone regardless of any argumentation.
In other courts on the other hand in cases about copyright violations even if accuser provided IP address, logs clearly indicating defendants computer the case was dismissed because he still failed to indicate that it was in fact the defendant that downloaded and/or served the copyrighted file in question.
I'd say same way there's no possibility anyone could prove that it was I who checked the checkbox.