Whiting Field's Radar Instrument Approach Minimums (attached below) disagree. I don't see DA at all, just DH and HAT...
Check your DOD approach plates. What you are arguing as DH is HAT.
Maybe you should follow your own advice. DA is an ICAO term, unless the FAR/AIM forgot to consult you before defining it. When you're shooting a PAR into South Whiting Field, CANADA... THEN you can tell me you were at DA. That link is straight from the pilot controller glossary, rather than some guy's VIRTUAL AIRLINE SITE!
I was reading the hard-copy of the PCG myself. I also read DH/A within the AIM portions about missed approach procedures, and the definitions at the beginning of the FARs.
Splitting hairs or not, sometimes the little things make a difference to me. I prefer DA because I fly approaches on altitudes (MSL), not heights (AGL). It just makes sense to me. If I'm wrong, so be it. But I think if it's in the FAR/AIM, it's good enough for me.
Same way guys talk about vibrations being "dampened", it's inaccurate. Vibrations aren't made moist, they are "damped". Just because a word or phrase is used commonly doesn't mean it's correct.