Product and version: FMPA 16.03
OS and version: OSX 10.12
Hardware: Newer MBP (11,4)
Using the Minimalist Theme, I apply the Pop-up Menu control to a field object. That object now has the Pop-up Menu type in the Appearance and the Styles tab of the Inspector. If I uncheck the "Include arrow to show and hide list" option for the Control Style, the object remains a Pop-up Menu generally, but the Appearance and Styles tabs now only recognize it as an Edit Box.