Parameter Attachments : types?

I just got things working after hours of flailing. This seems to happen on every project when I persist control values. Is the following correct? I have read the class reference and some headers, but didn’t really come up with a “documented” answer yet. It’s not highly intuitive.

Entity                Parameter                Value
--------------------  -----------------------  ------
SliderAttachment      AudioParameterFloat      float

ButtonAttachment      AudioParameterFloat      float

ComboBoxAttachment    AudioParameterInt        float
    max must be highest ID + 1?