I went to that info in the manual as well and tried multiple settings of all parameters even shutting off AF with a high shutter speed at f/4 and a fully charged battery and could not get the highest speed mechanical shutter .... the indicator blinks. I was shooting from inside the house where ambient temp is not an issue
I am not certain of the exact mechanical shutter speed I am getting with the old batteries... it is very adequate for my bird set up .... I would estimate maybe 6-8 per second ( again this is a total guess ).
The electronic shutter does not seem at all significantly reduced .... but I have not made any specific measurements of it either.