To administer the testing? The team doctor can probably say one way or another whether he should go back in, but i'm not sure how much the coaches talk to the team doctors during a game if at all.
If they're testing - Balance, speech, coordination, vision as they claim
Speech will be a comparison to a baseline. The players know this, and its probably the piece they can most manipulate.
Balance can't be faked
Coordination can't be faked
Vision test... i dunno maybe but i'd imagine also can't really be faked.
All this to say - we know his balance and coordination weren't affected because he was mossing everyone in the secondary. He cleared all of his tests, and there is no requirement to take him out because he cleared protocol last week or whatever. If they want teams to take players out, then they need to change how they do these things.