Not trying to be picky - just explaining why I think you got those two questions of "...if you mean by...." and "curious about this ...what is your source material". I may be wrong but I think both those posters use the term (DVD-A) in the way I do (and, I think, most people who take an interest in Hi-def audio), and were therefore a little puzzled as to what you meant.
Hi-def media is what DVD-A was originally all about, although unfortunately there were no agreed minimum standards re bit rate and sampling rate, hence the wikipedia entry you mentioned, that showed virtually any level of bit rate and sampling rate, and hence what many people regarded as misleading marketing when some companies offered DVD-As that were of no higher sound quality than what you would get on a normal CD or DVD. So this "hi-fidelity audio" (generally taken to mean higher quality than standard CD quality)was the original meaning of the term, hence the official DVD-A logo.
The first line in the Wikipedia site does say “DVD-Audio (commonly abbreviated as DVD-A) is a digital format for delivering high-fidelity audio content on a DVD” and later "Audio is stored on the disc in Linear PCM format, which is either uncompressed or losslessly compressed with Meridian Lossless Packing".
And yes, the oppo will detect that it has found a DVD in its drive (not a cd or blu-ray disc) which has audio on it, so it can only report it as a DVD Audio. Of course, the oppo will not read a (DVD or CD) data disc (although it may read music files on same??? not sure).
Just as a matter of interest I recently bought a very high-res recording from MA Recordings (24bit 176.4 khz) that was in DVD-Rom format, normally a pc only format, but it had the 24bit 176.4 wav files on it, and my Oppo was quite happy to play it (and VERY impressive sound it was). For those interested, the recording is titled La Segunda, and as I said from http://www.marecordings.com/main/default.php?cPath=35&osCsid=da47665fc5aead651bd9c2cadbce2b3e
. When I read that it was in DVD Rom format, I emailed and asked if it would play on an Oppo, or just on a pc, and got a reply that the producer had in fact demoed the disc on an Oppo at an audio show. Took his word, bought the disc, and Oppo produces great sound from it.
So there you go: yes, no agreed and tight definition of what the producers meant when they produced and offered for sale "DVD-A" discs, but the original point of it all was to use the higher storage capacity of the DVD over the CD to be able to store the larger high-fidelity sound files and sell them to the public.
So normally most people, I think, would assume a "home-made" DVD A was a copy of an original commercial DVD-A produced using a ripper program, or alternatively that you had some way of recording ( high-definition) music and manufacturing your own "DVD-A" disc.
But use of specialist terms does often become loose, and maybe others would disagree with my "narrow" definition. I suppose I am just a bit of a purist, and prefer (for the sake of avoiding confusion) that terms keep their original meaning, and that people use other ways of describing items that are similar to, but not lhe same as, the originally (in this case admittedly poorly) defined term.
PS if you are interested, you may want to explore the items for sale, and read the various articles, on this site:http://www.aixrecords.com/
pps also this discussion: http://sound.westhost.com/cd-sacd-dvda.htm
ppps or the less technical http://www.ambisonic.net/sacdvdada.html