Realise they are keen for the operator to show the link of the TM and the company. But not as pedantic as you describe. Don’t have access at the moment, but if it is as they say, have a look at the TCs Statutory Documents, or better still as the team leader where is shows it so clearly in the SDs. It is possible it’s a single leader wanting to push a point. The big point is the TM has signed the TM1 form and have a contract. How they are paid is a bit less relevant ( not entirely but you get my point t)