That he might then support BLM in a similar manner
I think this is kind of an unfair expectation because Harry Styles has much more of a connection to LGBTQ community than he does BLM since I'm pretty sure he himself has said before he doesn't know where he falls sexually so he actually has somewhat of an understanding of the feelings and prejudices that group faces (if he is gay or bi). I don't interpret him not acknowledging the BLM flags as him being ignorant or not standing in solidarity, I think he just realizes he doesn't have anything worthwhile to add to the conversation because he hasn't faced the specific prejudices that group has faced, so there's no real point to call attention to it because unless you're a bigot (which he clearly isn't) it should go without saying you support the ideology of that group. If all your doing is talking you aren't paying attention to the real issue, which is something I see a lot of other celebrities do in speeches that are very clearly not genuine because they don't know what they're talking about, and if they really wanted to make change they would let people who have actually been through those injustices do the talking. If anything they should just raise more attention for those voices because if Harry Styles did wave around a BLM flag that was getting passed around his concert he's not really making that deep of a statement compared to the latter