In the now-closed "Blog Stats" sticky, Andy notes that the total hits graph did not get affected.
Yesterday, in my experiment, I asked about 8 people in 3 different continents to access my blog and they all did ... Yet, the blog stats graph did not register those hits.
It might have registered the hits later on in the day, and I suppose they can always look at the server logs and reconstruct the total number of hits.
But I can confirm that the graph was not responsive at least for a while yesterday.