Honestly when people say their art needs to get "more weird" they usually mean that as in "less commercial/less broadly appealing" and I think the answer to this is not to insert artificial Quirky Weird Style Stuff into it I think you just need to get uncomfortably earnest. What's the thing you really want to draw but feel shy about putting the effort into because it'd be too sincere an admission. You need to draw that. I want to see it
This is what I think of drawing something unusually angsty or otherwise super emotional. That being said, I'm only brave enough to post such things on Tumblr every once in a while because no one here knows who I am. I wouldn't dare do the same on Instagram for example, considering how some of my followers are people I know IRL xD