Even for this whole motor power issue, the acceptance levels have a very wide variance, so I'm pretty sure it is not going to be that simple. The definition of "peak" is going to vary a lot from what people may find acceptable.
For battery cells and packs in other applications, the power ratings are typically continuous ratings (worthless in this case). There are pulse ratings, but how short a pulse would be acceptable?
Here's an example of how it can vary drastically:
Safe pulse discharge ratings: 95A < 0.5 sec, 65A < 1 sec, 40A < 5 sec, 30A < 6 sec
http://batterybro.com/products/samsung-inr18650-25r
What about temperature (how high a temperature can manufacturer specify)? What battery age range can they use (I know for capacity there is a rapid drop after the first couple of cycles, similarly battery resistance grows with age).
As it pertains to the P85D specifically, I'm pretty sure Tesla can push the pack more than they are doing now at the cost of contactors and fuses failing more quickly. Would such a rating be acceptable?