So, it's not "factually false". At best, it's up for a court of law to decide who is telling the truth.
But considering that it's trivial to show messages from Lin Wood, among others at the capital protests messages on parler calling for "appeals to violence" exactly in contradiction to your suggestion that there isn't... Well your argument doesn't appear supported by the facts.
Lin Wood, the president's election lawyer[1] LITERALLY called for VP Pence to be executed the week before the riot. This was shared everywhere on the internet, was shared right there on Parler like tens of thousands of times, and AFAIK was still up and unmoderated when the site was shut down.
Parler's moderation was a community-run thing. Effectively, popular users could say anything they liked.
There was no meaningful moderation at all.
[1] Or whatever. The relationships were totally muddled, but nonetheless this guy was a big thought leader among the Kraken set.