That sounds about right. I wonder whether the first shockwave was meant to be the EMP or the neutrino pulse (which I believe would be dense enough to do plenty of damage.)
Oh and NGTM-1R there would definitely be an EMP from a supernova. It just probably wouldn't behave in the way that you're thinking of.
Neutrinos go through practically everything without leaving a trace. They don't interact very well with normal matter, hence "neutrino". They're also nearly massless and thus travel close to the speed of light. The EMP, being mere electromagnet waves (i.e., light) would travel at exactly the speed of light (well, duh) and so would of course arrive before the neutrinos.
I know very well what neutrinos are, as you should probably be able to tell from the fact that we're having a coherent discussion about core collapse supernovas.
Neutrinos are indeed generally non-interactive. At this density, however, the neutrino pulse is devastating nonetheless because even the small proportion that do interact with matter are enough to wreak havoc. A significant percentage of the mass of the star goes into the neutrino burst, and in fact if I recall correctly, the neutrino wave alone may be enough to cause extinction events in nearby star systems.
The question here is not which pulse would arrive first. It is whether :V: intended that first shockwave to be the EM pulse or the neutrino pulse.