Many psychotropic meds including all antipsychotics, Mirtazapine, Depakote and others can cause Neutropenia. It's just that with Clozapine the risk is to the degree where monitoring is mandatory where the others will cause a very subtle drop and the risk is small enough for the FDA not to require monitoring.
But if you have someone on any of the meds that can lower it, yes you could significantly worsen Neutropenia although the risk is low. If someone you gave, say Mirtazapine, had significant Neutropenia to the degree where there was a bad-outcome and you never did labs, you'd beat a malpractice case cause it's not within the standard of care, but that doesn't mean you don't have to care about it. Anyone on any psych meds it's a good idea to see them as a whole person you're treating and factor in their ANC levels.
Depakote, actually, IMHO should have ANC levels monitored and the CBC labs needed for it will usually include an ANC level. I've seen several patients get neutropenia from it even more so than Clozapine. While the risk is lower per patient vs Clozapine, Depakote is much more commonly prescribed-hence why I saw more Neutropenia with it.
The ANC drop is also of concern on anyone on mulitple meds where they can all cause this even if none of them are Clozapine because together it could cause a cumulative reaction where the ANC drop is significant. E.g. Mirtazapine + Olanzapine + Depakote.