I think it's a case where you can say something, but I wouldn't necessarily recommend it.
I was trying to work out what was wrong with the sentences, as they definitely didn't sound natural. The honest answer is that I'm not entirely sure why it sounds wrong, and why native speakers would almost certainly say "I dislike it more/most" not "I dislike it worse/worst".
In the case of "I hate it worse/worst", that definitely is used as a phrase. In fact Shakespeare uses it in 'Timon of Athens'.
With 'dislike it worse/worst', I think there might be (and I'm not saying I'm definitely right) a reason not to say it because it's almost like a double negative ... you are saying two things which have negative connotations, and they almost seem to confuse each other. Does 'disliking something worse' mean you dislike it LESS efficiently, less effectively? But then again, the same argument could be said of 'I hate it worst'. Google NGram suggests it is not a phrase that is at all commonly used, if ever.
Other than that, I'm at a bit of a loss, other than to say 'people don't say it'.