An interesting side issue to this discussion is that the minimum screen height of 35 feet or 15 feet on wet runways is a demonstrated capability by:
A test pilot crew
A known runway surface condition.
New tyres and brakes.
An accurate known (weighed) weight & balance.
The knowlwdge of an engine or critical system failure prior to the event.
If we, as line pilots, encounter the same engine failure or critical system failure at or after V1 and we don't make the screen height due to:
A non test pilot crew.
An unknown runway surface.
Old tyres and brakes.
An innaccurate weight & possible balance problem.
We didn't know the failure was about to occur.
the ensuing accident will probably be classed as pilot error!
The fact that aircraft aren't crashing everytime an engine or critical system fails at or after V1 is a testament to the reliability of modern engines and the risk mangement calculation that the critical failure at maximum weight etx etc is 10 to power of X.
Yer pays yer money and yer takes yer chances.