It rather hangs on the details of the regenerative process, which we don't know. If the process requires a specific amount "x" of the energy, and a Time Lord only has x*n amount of said energy, than conceivably the energy he's shared over the recent years has reduced the number of possible regenerations by one or two.
If, however, he has access to an unlimited amount of the energy, but can only use it to regenerate a set number of times, then the times he's tapped into it doesn't count towards than number. He loses the ability to tap into that energy when his regeneration cycle ends.
I'm leaning towards the second scenario. We've seen that after a regeneration, a Time Lord has quite a bit of extra energy left over to make "minor fixes" like restore a hand, change their hairstyle, or even completely change their body again.
The Doctor only used a portion of the energy of a regeneration after being hit by a Dalek, dumping the rest into his severed hand, but as we learned later, that "counted" as a regeneration. So that adds weight to the idea that it's the process of the tapping into the power if what counts, and not the power used.
Nine's regeneration was just a light show, Ten's spat out enough energy to almost destroy the TARDIS control room, and Eleven used up enough energy to destroy a Dalek fleet, and still had enough for a full regeneration. I'd hazard a guess that the amount of energy expended against said fleet in Time of the Doctor exceeds the amount siphoned from him in Witch's Familiar.
River allegedly used up "all of her regenerations" (as opposed to all of her regeneration energy) to heal The Doctor in Let's Kill Hitler. But since her connection to the powers and abilities is under question, her process may change. Perhaps a better description is she burned out her ability to access the energy.