A -> B does imply !B -> !A. The error in reasoning here seems to be that attitude towards a website is assumed to be a binary "like/not like" variable, while in reality one can also neither like nor dislike something.
A consequence of this being true is the Raven Paradox [1], seemingly the OP has solved the classic riddle in a HN thread.
[1] https://en.wikipedia.org/wiki/Raven_paradox
A -> B does imply !B -> !A. The error in reasoning here seems to be that attitude towards a website is assumed to be a binary "like/not like" variable, while in reality one can also neither like nor dislike something.