I ran both cars back to back this summer on the asphalt. Both cars ran identical laps times, but felt completely different.
The M03 was a very direct feeling car. It drove like a Cadillac and turned really well. It wouldn't do anything stupid while driving it.
The M05v2 is a nimble little beast. It does carry more corner speed but because of the reduced chassis roll, I had to find other ways to make it turn. The car transitions much more quickly that the 03, but can get a little happy in the back end and want to step out on occasion.
We all have a lot of time in the 03's and I think with a little more time running the v2 we will get faster than we were with the 03s.