The idea of having a visual check on the aircraft in flight is not “just to verify a blown tyre” but to give a report on the overall condition of the aircraft.
I wanted a visual check of my ship done when we had a tyre blow with further complications on T/O, before planning our landing. Trouble was, they couldn’t get a fighter and wanted to vector a Fokker Friendship on to us. I politely declined. If you have someone in formation with you, you want someone who is in practice.
You also need someone who knows what to look for and can respond to queries from the cockpit, while assuming appropriate position.