Hello Hab,
I believe the answer to your question is "No."
Technically speaking, a "Feature Service" is not a separate service type but rather an optional "capability" that can be enabled on a Map Service.
When it comes to consuming the Feature Service (i.e. as User), it makes sense to explicitly list it; for administration purposes, any enabled Feature Service falls under the umbrella of the parent Map Service. The downside, of course, is that an Admin or Publisher user has no immediate visual indication of which Map Services are also Feature Services.
This could be a good improvement recommendation for Esri.