Hope this helps others:
I've applied for the DTV and the embassy wrote back to me with this comment: "DTV is not a tourist visa application, meaning of DTV is Destination Thailand Visa, omit the word Tourist visa".
Hopefully this helps others avoid that wording problem as I've seen many others in DTV-related facebook groups referring to DTV as a kind of tourist visa, apparently the Thai Embassy does not consider it as such.
So in short when referring to the visa in any of your application documents (e.g. letter from your employer) it can say "DTV" or "Destination Thailand Visa" but not "DTV Tourist Visa".