You may not have the wrong opinion on abortion online. Google knows best, and will be censoring YouTube accordingly.
They have been pretty aggressive about enforcing the government narrative lately via censorship at YouTube. For example, in the last several weeks numerous independent reporters / channels with coverage of Ukraine have been banned. Not for Ukraine coverage specifically (although they tend to be less enthusiastic about our involvement there and/or the Ukrainian military prospects than our Party Line), but they would go back 2 years to find some comment about covid that could be construed as medical misinformation and ban them for that. So it’s clear the government is intervening to try to control public opinion, and it sounds like they’re going to start doing around this issue as well.