Another nerve system controls the opening or closing of the bladder outlet. There are multiple diseases that affect the bladders ability to contract and push urine out. The bladder muscle needs its nerve supply to remain healthy. A nerveless bladder muscle can get too weak to work if nerve impulses are not restored soon. In cases like diabetes, the nerves that tells you your bladder is full, become damaged and then the bladder muscle can get too stretched to work.
Urodynamic testing can measure the pressure generated by the bladder muscle.
If the bladder does not generate pressure, this test will not tell you if the muscle or the nerve to the muscle is the primary problem. One or both lesions leave you with the same defect, a bladder that will not work. In this sense, it is conceivable that myogenic or neurogenic could be used interchangeably but myogenic is probably more specific. I assume your urologist knew that neurologic diseases can cause the bladder dysfunction and referred you to a neurologist. If you want to know the whole story, you need to know what the disease process is then one can infer how it affects bladder contraction.