The issues I saw on Twitter weren't so much people making a big deal out of her hanging with Dan, but more the uncomfortable way it was being presented by people (I.e. tweeting her and Ed and telling them they should go on a date and Dan could be the chef). I'd imagine that stuff would be quite uncomfortable for all of them if there was anything other than friendship there.
People don't seem to freak out about her being with Dan, but some do freak out and get angry by the lack of Ed and I'd imagine Jade is weary of that and it's why she doesn't want to fuel their freak outs by posting pics of her with other guys. I mean Tim is okay because people watched the show and they know that their status is friends, but unideintified males could potentially fuel the hysteria. I mean look at the Instagram comments on the last pic she posted. There's not even any evidence of her looking coupley with anyone and most of the comments consist of people crying and asking where Ed is.