A lot of DVD players only support one or the other, not both. As for sound quality, I don't think it matters.
every DVD player supports DVD-Video discs (otherwise the average consumer would be pissed off that their DVD player didn't play their DVD's). Not all DVD players support DVD-Audio. However, the ones that do support DVD-Audio will absolutely also play DVD-Video discs.
in terms of sound quality, it doesn't matter. but as stated above, DVD-Video discs must be sampled at either 48 kHz or 96 kHz. DVD-Audio discs, however, support PCM data at 44.1 kHz, 48 kHz, 88.2 kHz, 96 kHz, 176.4 kHz, or 192 kHz. so if your recordings are at 24/88.2 or something other than 48 or 96 kHz, you need to go with the DVD-Audio discs (or resample to either 48 or 96 kHz).