I know that text isn't public domain by default. I'm not talking about pirating IP. I'm talking about reading a website - which is a right that supersedes copyright - even using a computer that learns from it without storing a copy of it or distributing it.
No, you don't need to agree to TOS. I'm sure you never actually agree to them and you're not going to jail for it. If you believe that, I hope you never visited cnn.com, for example. Their Terms of Use is 11,000 words. Are you sure you have agreed to that when you clicked on some random news link? Are you sure you're happy to to surrender your legal defense and its expenses to them if they make a claim against you? You're OK that they have no liability for sharing your PII when they're not authorized to? You won't complain if you pay for a subscription and they don't give you access to the subscription content, don't refund your payment, and don't even tell you why?