Is the DTV visa considered a resident visa or just a tourist visa in Thailand?

This clearly is a long stay and not a short stay visa. So if you'd refer to these as "tourist" and "resident" instead, this is a resident visa. Your embassy will renew your passport.

The DTV is not a long term visa, it is more akin to a tourist visa. I wouldn't expect any sort of additional rights with it, but it's not been around long so who knows

It is NOT an actual resident visa. It is more of a glorified tourist visa - to use your terms. People will use it as a means to stay up to almost 6 years like they were residents, though. The rest is between you and your countries consulate. I didn't know there were countries that refuse applying for a new visa through their consulates abroad when on "the wrong" kind of visa. Where are you from? Learned something new. German consulates for example (and your name happens to sound German), have different prices for obtaining a new passport abroad: the regular price for true residents abroad, and a significantly higher price for the "glorified tourist" category.

The translation in the royal gazette basically calls it a "special tourist visa."

What your embassy will consider it to be is going to be up to them though.