Hi 320p,
Therefore, wouldn't it better to start T/O roll with feet on the rudder pedal and slide them down at about 75- 80 kts as rudders become effective.
You'll need most rudder deflection at low speed during the take off roll and will therefore have a bigger chance of applying unintentional braking.
Using the same logic, why don't you drive with your left foot covering the brake pedal on your car whilst driving on the motorway?
It's the delay in recognising the engine failure, before the TLs are closed which causes the problem. In real life, the change in heading will be felt early, whereas the sim points in the same direction (no clue there). You'll also feel the sideways acceleration immediately, the sim has to roll in order to simulate the yaw and consequently lags.