The first paragraph is spot on and dangerous. See below article on an incident in rugby recently. The TMO had seen an incident and dismissed it but the commentator on TV suggested it was foul play. The TMO and the TV commentators then had a discussion about the incident and when TNT then showed it again on TV the TMO was fuming because it made it look like he hadn't taken action.
If the commentators are influencing what is or isn't shown on replay then the VAR is in trouble. Sometimes I see incidents I think look like a pen, and I'm shocked to hear how quickly they're dismissed. You never get a replay of them. That's potentially all part of an agenda. You have to trust that the officials are seeing everything and making a call on every decision regardless of the commentators and TV coverage, but they'll definitely be influenced by it.
The RFU insisted the TMO who appeared to ignore foul play on Saracens’ Owen Farrell was not influenced by the TV pundit Austin Healey spotting it first
www.theguardian.com