Jack,

You're asking for Type V (w/ a non-conductive fill material)  and
getting Type III (w/ soldermask material).

The intent of Type III is to simply plug the through holes, whereas
the intent of Type V is to completely fill the through holes. For type
III, plugging with soldermask can be done from either side or both
sides, the latter case being riskier because of the likelihood of
trapping air and/or contaminants in the center of the hole (between
the plugs). Type V assumes a separate (as opposed to soldermask),
non-conductive material is used specifically to completely fill the
holes prior to the application of soldermask.

Fill material colors typically fall somewhere between white and gray,
although I am aware of an OEM that specs a black color. No green.

Stephen Pierce