I dunno, you might be right, but I was driving hard too, there were 8 turns in total on that short mountain road, he pulled away a little on 4 of them, 3 others I was able to keep up but I didn't gain much and there is 1 big tight turn where he tried to drift it through without much success (I saw he locked his rear wheels), and that particular turn I was able to close up the distance.
One thing though I did upgraded my suspension and did a 2" drop on my P5, that helped a little in keeping up with him. I agree with you on it's acceleration part. But whatever happened was a pretty nice experience for both me and the Miata...