I know 'pursuiters' who are great crit riders, but they are also great scratch and points riders. I don't really know anyone who is solely a pursuiter and does well in crits.
While pursuiters tend to be able to ride very strongly off the front of a bunch, they need to generally do it with a constant speed. What kills them are crits with lots of stops and starts and accelerations, which lets face it is just about every single crit.
I think you are better off training like a points or scratch rider.
So depending on the velodrome length, 10 laps at high speed (say 40-45kmh depending on your ability) with a one lap surge / light sprint, 2 lap 'recovery' (35-40kmh), rinse and repeat. Most people do them for a timed period, 30 minutes, or 45 minutes etc.
Paceline work with a small number of riders 2-4 over an agreed set of laps, 20-40, pulling 2 lap turns with a free run over the last 2 laps and a contested sprint. You'd usually do these with a recovery between each set and do a defined number of sets.
The reality is half the success in a crit is tactical anyway, positioning yourself mid to front bunch for as much time as possible, finding the right wheels in a break, finding the right wheels in a sprint etc.