V1= Remove your hand
Why? Because leaving it there is dangerous.
Most guys put it back right after a second.
Not only ridiculous, but dangerous!
How come in our history nobody has raised the question: When can you put it back there?
I suggest not before 400ft.
If doing a reduced thrust takeoff and then there is an engine failure, my carrier allows the PF to call for TOGA if needed/desired. He thens sets TOGA, and the PNF verifies it. If the PNF thinks more power might be helpful, he can call "TOGA available."