I think you have that backwards. Trespassing is your actus reus. What's at issue is intent, or mens rea. You're looking for firmer indications of mens rea than, apparently, you've seen in CFAA cases to date.
I'm saying that "trespassing" is too broad an actus reus to establish mens rea because we interact with websites in a very different way from real property. I've proposed an alternate set of rules (material deception + a safe harbor) that I feel better capture actual criminal intent.