I do not know for sure (as in, I have not tested this specifically), but I am going to make an educated guess based on some other factors:
When you feign death, you wipe your aggro, and the damage you have done toward the taking of experience. This is how many necromancers powerlevel. Successive ticks of a DoT does not count toward taking of experience. So, once you place a dot, if you feign death, and stand up, all successive ticks will not put you toward experience. Note: This does not apply to certain dots. The lifetap DoT for example will put you back for stealing XP the second you get a tick of healing from it, whether at full HP or not. I believe Darkness works the same way.
Because of this, I would suspect that feign deathing would remove the damage you have done from the calculation. So lets say you place a DoT that will deal 30% of a mob's' HP. It is at 100%. It ticks to 85% (half way through the DoT), and you FD. When you stand up from FDing, the other 15% will not count to your experience, meaning the new 100% mark is 70%, as that 30% is now voided experience. This means to beat your pet, you now need 51% of the remaining 70%, or 35.1% of the overall damage. Note that at this point, your pet has probably been doing damage, so he or she will be well ahead of you in damage after the flop.
Again, I have not tested this specifically, but this is what I would guess based on how necro PL works.
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