Anyway, the reason for the disagreement in this thread all comes down to how pauses are measured and expressed.
To my mind, solvetime = (movecount / TPS) + pauses. Where the unit of pauses is seconds. Fewer seconds paused is an improvement.
@cubo is using a model where solvetime = (movecount / TPS) * pausefactor. In his model, the 18 second solver who pauses for 9 seconds has the same pausefactor as the 100 second solver who pauses for 50 seconds and that represents no improvement.
So we can come up with plenty of examples where in the first model, and intuitively, reducing pauses is the main contributor to improvement in solve times, but when expressed as a pausefactor in the second model it isn't.
Obviously my position is that I don't agree with his model. For
@cubo and anyone else who chooses to follow the pausefactor model, I can't fault his arithmetic and agree that this notional pausefactor has a smaller impact than TPS in the example he gave.