An interesting discussion worth continuing ..
GA/TKOF PWR is time limited ... When to accelerate? ... I can think of several more or less tailored "strategies" but not really a policy ...
FlightDetent has identified the principal concerns .. again, this is one of those problems best addressed by the ops engineers in advance (with procedures published for line use) .. and not by the line folks on the day.
Also, keep in mind that the gradient capability at the miss deteriorates progressively as the aircraft climbs .. one needs to do a bunch of sums for any difficult runway escape if one wishes to have some reliable probability of getting through the day without bloodshed .. matching PANS/OPS with OEI operations is not a straightforward matter, I suggest.
How about not accelerating. Maintain speed, TOGA as long as you may or require
See above .. in extremis, one would be unkind to the remaining motors as may be necessary .. they are unlikely to let you down even if subsequent maintenance might be expensive ..
A sensible and defensible plan developed in advance makes for a better pulse rate, is not difficult, and just may save the day .. ?
That's what we did on biz jets, without all the fancy charts EOSIDs airlines do provide.
The pocket rockets usually have the saving grace of more get up and go than their larger brothers and that generally leads to such an attitude.
Worked anywhere.
The difference between planning and gambling .. ?