I'm pretty well versed in hair loss treatments and medication. Rogaine has no effect on male hormones. Minoxidil is a vasodilator, not a 5ar inhibitor.

Finasteride can cause PFS probably because it inhibits the 5ar enzyme. 5ar is responsible not just for DHT production but also other for neurosteroids that can affect your mental state. Patients treated for male pattern hair with finasteride show, after discontinuation of the drug, altered levels of neuroactive steroids in cerebrospinal fluid and plasma - PubMed

There's no evidence that minoxidil can or will have any of the effects of a 5ar.