Not really.
When putting from the green, the flag is automatically pulled. In replay, it's shown anyway, whether in or out.
Concerning the OP's wish, careful! WGT's flagsticks are infamous for their ability to load the balls with inertia. Approaches fly further from the flag than towards it - you would not want this while putting.
Experience also shows that any modification has it's downside - I call it betterworsening. Just now, after the downtime, there's a severe stroke play counting issue!