Mr Parr explained that footage from the protest showed the frontline officers, many of them women, faced “some really nasty provocation and abuse” from the protesters at the vigil.
The HM Inspector explained: “What we are saying in this review is if you see clips on social media, or a single photo, you see one side of the story.
“But, this is much more complicated and nuanced situation.
“We have talked to dozens of people and we have reviewed hours and hours of footage from members of the public and police.”
He continued: “The story it tells us that there wasn’t a disproportionate or excessive response from the police.
“And in fact, our police officers had to take a lot of abuse and vitriol from the protesters who were there at the time.”
Ms Newman questioned whether the Mayor of London, Sadiq Khan, or the Home Secretary Priti Patel “owe Cressida Dick an apology” for initially condemning the protest policing.
Mr Parr responded: “You should be careful of rushing to judgment from a social media clip before you have the full facts.
He added: “One thing they told us was how shocked they were at the level of abuse that some of the female officers faced at the time when the protest turned nastier.
“They found the level of vitriol shocking and so did we.”
The review found the force was “justified” in taking the view the risks of Covid transmission were “too great to ignore”.
Ken Marsh, chairman of the Metropolitan Police Federation, said the outcome of the report was “no surprise” and hit out at “armchair critics”.
Reclaim These Streets said the HMICFRS report was “disappointing” and evidence of “institutional sexism running through the force”.