I would argue against abandoning the take-off on the basis of a "rule of thumb" speed check against distance. This photo, at Danang 1965, is of the remains of a USAF B57 that used this methodology. The pilot thought his acceleration wasn't good enough, so he jettisoned his underwing load and stood on the brakes. Unhappily, the US Marines had just dug a new series of trenches across the overrun. It was fairly exciting - I was waiting for a take-off to the north at the invert where you see an aircraft turning on to the runway, idly watching a B57 squadron scramble into the south. Suddenly, all these iron bombs were bouncing across my nose, followed by the smoking B57.
My choice would be, when reduced power is used for take-off, is to use the methodology applicable to your type that allows full (rated?) power to be introduced if there is any doubt. Clearly, on types where Vmcg is an issue, that speed would need to be known.