However in this case you're presenting a false equivalency. Yes, there were issues with BLM. the people got out of control. But that's not authoritarianism- if anything it was a lack of authority with caused dome of those problems.
What you see with protests now is those with authority over-using that authority and wielding it as a weapon against the public.
And I'm not sure COVID lock downs are a useful measure of anything. It was a unprecedented event and countries all over the world had all manner of restrictions, lock downs, and so on. Millions of people died, over a million Americans. It's always going to be easy in hindsight to blame those in authority for doing too much, or too little, too fast or too slow.
Unlike most places, the US politicized the response, and even within the US the death rates varied from one state to the next. Anthropologists will be disecting covid data for generations to try and determine which approach was best.
For example At the first hint of a scandal democrats get pushed from office, whereas we've had plenty of Republicans continue in office despite obvious wrong doing etc.
So no, I don't think the next president would behave in the same way - there are fundamental differences in the way the parties are behaving.