I think injectors are unlikely, surely you would feel that. I think you are getting a false trigger. I think I would change the CPS, if only to rule it out.
CPS, ECU, bad connection or a broken/chafed wire in the loom somewhere - not unheard of. If it comes to it, give the wiring a good prodding while it's running, see if you can make the EML come on. Use an implement, not your fingers!