Re the second one - I also saw some footage where a couple of police were, I dunno, ushering them or encouraging them through barriers towards the building. Like "come on, come on!" - that kind of gesture.
I have to stress though that I agree with "danaris" one level up from from this comment - it seems perfectly believable that individual police sympathised and aided these people. However it's not "The Police" as an entity as some others are suggesting, that's venturing into Q territory and is a bit Conspiracy Theory for me.
Here are videos from 2 locations where protestors fought the police and pushed past them. That is the opposite of letting them in. IMO I think the instances where they were "letting people in" were because the barriers had already been breached on other sides so there was no point holding lines where there would already be people in behind them.
The video (letting them in) doesn't show what you think it does. Capital Police leadership planned poorly and their leadership is at fault. They had to fall back to more secure chokepoints because they were outnumbered and overwhelmed. The cops didn't let anyone in. They killed someone and one of them was killed in the fighting. Please don't stir up trouble with fake conjecture over a 30 second clip that doesn't show what really happened. It is what caused a lot of these problems. You are making it worse.
No... if those officers had fallen back, sure, all good. I don't see an issue there. But literally you have an officer (and yes, I get it, individual versus collective) who moves gates, and starts waving protestors through.
If you're falling back because you're overwhelmed by a surge, the last thing you do is _remove obstacles between you and the surge_!
Police letting terrorists in: https://twitter.com/joshuapotash/status/1346931235176783873