Hi Clint
First of all HA-VAG is a Lampish NL.XXI and
not a model NL.XXII.
HA-VAH on the other hand was a NL.XXII
Lampish went to Austria in August 1932 and designed both these types as Technical Director with Wiener Neustädter Flughafen Betriebsges.m.b.H.
Two NL.XXI were built, OE-DNC and OE-DND, and DNC went to Hungary as OE-VAG in 1939.
Three NL.XXII were built , OE-TAW/DNr 436, OE-TBN-DNr 437 and OE-TCN/DNr 438 (one more was built AFTER Anschluss as OE-TAN/DNr 4636). OE-TAW went to Hungary in 1939/1940 as HA-VAH. Not sure if they carried Luftwaffe codes (or German civil reg) in between.
I am rather certain that none of them ended up in the Hungarian Air Force since there is no indication that any of them carried any I.xxx serial number. If they were impressed with their civil registration, no sources mention this and I have across no photos showing this either.
Possibly the web site quoted confuses the Austrian Dienstnummer with a military service in Hungary.
Since Lampish went back to Hungary in 1938/39 (after Anschluss anyway) it is not impossible he wanted these two aircraft with him, but that is just a hypothesis of mine...
Cheers
Stig