On pickup, or even on the phone to arrange pickup, once they know the dog is OK, owners really really want to know the number and latch onto the answer. How many????
I tell them because they want to know, but often I have to look at the chart before I call them because I have forgotten the actual number, if even I have only just written up the procedure...because it doesn't actually matter. We don't really care about wee shitey single rooted first premolars for example - I do take care to note what was missing, what was extracted and what was still there but TBH the owner will never notice or care if all 4 first premolars are gone, or if everything caudal to 108, 208, 309 and 409 is gone. I bet most don't know how many incisor teeth a dog is supposed to have (12) or which of those incisors have an awkward , triangular shaped root (the upper corner incisors 103 and 203).
We're more interested in whether the roots were completely intact or not, what our gum flaps were like, whether the upper canines had oronasal fistulas or not, whether the bit of root exposure on that big lower molar 309 is going to be significant now that we've extracted the offending 308 that was crowding it and gathering tartar, and mentally awarding ourselves a prize if we managed to do a beautiful gentle extraction on a difficult tooth with minimal trauma (bonus points if it's a mandibular canine, double bonus points if it's a mandibular canine in a cat, triple points if the cat has resorptive lesions).
If I get 4 retained deciduous canines out of a dog with roots all intact, I expect a round of applause from all present .
No points for finger loose teeth, those are the ones you do for an easy win while you're waiting for the local block to work and contemplating doing battle with a big lower molar that has one sound root and one root where the probe disappeared up to the hilt.