Someone else gave a decent answer to your question, but I’m not sure that’s this situation. TPG is scraping AA and then displaying the results in TPG’s app. There’s an http request being sent by a TPG computer and IP address to AA. I think that’s a relevant distinction. I also think that’s relevant to whether TPG is a party to the AA TOS.

I don't think that's an important distinction. TPG could be doing everything locally on the user's device (maybe they are?) and AA's complaint would be no different.

What about ICloud plus Prody then? It comes from Apple’s servers. Add Safari reader on top of it and I think it becomes similar.

Move Reader to iCloud proxy and I think it becomes almost identical?

They could (conceivably) if Google touted using their browser to access said website despite all this, especially if Google derived some benefit from it. It may well not come down to making available a tool, but to knowingly encouraging the breaking of ToS (assuming it's valid in the first place).