So, just to be clear when I'm trying to fix this - your main issue is the user experience and not really anything to do with twitter or surly hosting the actual "embed".
What you want is someone to paste a link from normal recruiting news places (A lot of that is X and not Instagram) and it just shows up as it was posted? If that happened it doesn't really matter what's going on beyond that? Or are you specifically bitching about blocking twitter.
I think it's fair to say that the perfect state is people paste a link, it auto embeds a surly hosted clone of the tweet/embed with full media functionality and it loads super fast and doesn't bog down the page and force it to jump all over the place?
Right now we can enable twitter again and the embeds are horrendously slow and dogshit, but they actually work as embeds OR we have surlyx which loads much faster and doesn't fuck up the page, but doesn't have the rich media.
I will fix this soon, but tell me what I'm fixing before I just start doing random shit. In the meantime I can probably just allow twitter embeds as long as we know and have a plan to get to a state that makes sense.