First of all some transparency: what are the 'calling for inspection' rules, who pressed the buttons for a video review, screenshots from the reviewed video clearly showing the faulty edge or rotational error?
ISU World Cup in short track skating is going on, with strong participants from my country, so I watch with pleasure. And since there are lots of violations of right of way, pushing and pulling, falls in short track, there are referees in various positions, there is a video review room. One can see the referees in operation, see the footage they use, listen in on them and watch the head referee dole out penalties. Everything is shown on the big screens in the arena too, so the whole refereeing seems quite transparent.
In figure skating, when you have a seat directly behing the tech panel you can watch them, look at their small screens, listen to them even, but I don't think they really appreciate 'being watched over their shoulder'. Esp. those that consider themselves 'deities' with all the pump and circumstance.
Good example with short track skating. But this is also ISU. They can when they want