Diet definitely influences hormonal output, and diets that lead to systemic inflammation may also lead to the upregulation of DHT at inflammatory tissue sites and thereby contribute to pattern hair thinning. But in general, I think that diet-driven hair loss from low-carb mostly comes from under-eating calories. This often results in hypothyroid symptoms, excessive shedding, cold extremities, etc. The mechanical stimulation exercises in the book, plus the dietary changes you’ve already made (getting enough calories and carbs) should help turn things around. But if not, let me know and we can continue to troubleshoot until your hair is back to where you want it.
Benzodiazepines may influence neurosteroid metabolism by virtue of their actions on translocator protein (TSPO; "peripheral benzodiazepine receptor").  The pharmacological actions of benzodiazepines at the GABA A receptor are similar to those of neurosteroids . Factors which affect the ability of individual benzodiazepines to alter neurosteroid levels may depend upon whether the individual benzodiazepine drug interacts with TSPO. Some benzodiazepines may also inhibit neurosteroidogenic enzymes reducing neurosteroid synthesis.