That's ridiculous, if he wasn't concerned about the foul then why did he look at the offside. The ball was out of play, so if not for the foul the offside decision makes a no difference
Here's the tweet from ESPN again.
I don't know how tweets work, but this is the relevant part:
Had it confirmed that the VAR, David Coote, did NOT check for a red card. Appears he was too concerned with the offside. #EVELIV