No twisting involved. I am not Chubby Checker!
Facts need verification. Not opinions. They are either true, or not. If a determination cannot be made then that must be stated.
I don’t use fact checkers often enough to have a preferred list but there is an EU code of Standards to which many have signed up, including some from the UK. So ensuring integrity and reliability is very much part of what they do. If you are seeking information on whether something is true, or not, you need to first believe the information provider.
The European Code of Standards for Independent Fact-Checking Organisations is designed to ensure that organisations adhere to the highest standards.
efcsn.com
I think you can safely trust their members and all others who subscribe to the code.
That the right try to undermine confidence in them by suggesting they are themselves politically biased just demonstrates how concerned they are that their lies may be exposed.
Where does the tactic of smearing your opponent with your own worst sins come from? Politics nosedived after 2016.