Except that's not what they said. Large gatherings anywhere were risky with people in close proximity. Outdoor events with many people in close proximity could become super spreader events. Unless the outdoor event was a politically aligned protest. In that case the rules didn't apply and there was no risk of it becoming a super spreader event.
Big outdoor gatherings *for right-wing causes*: big risk.
Big outdoor gatherings *for left-wing causes*: low risk.
I do not recall any such claims about right wing things.
I do recall worry about right wing things which were "outdoor"--but would have a lot of indoor spillover. Things like that motorcycle thing--the motorcycle part was outdoors but you would have a lot of people going to bars and the like in the evening. The right always tried to portray it as political, but only by oversimplification.
Big outdoor gatherings *for right-wing causes*: big risk.
Big outdoor gatherings *for left-wing causes*: low risk.