As I recall from my Martin history book, the 00016C (which is the same size and looks a lot like other Martin 000 size guitars from that era) was made up until about 1971 (mine's 1970), as were a few other classicals. They never sold real well, and Martin redesigned their classicals in about 1971 (I forget the new model number) and then gave up altogether in about 1973. But one of the redesigned guitars ended up in the hands of Willie Nelson, who has made it famous. Willie plays one of those 1971 Martin classicals, which has a huge hole worn in it from picking down onto that thin top. Apparently his people have wired it in all sorts of ways and put a bunch of shellac and the like on it so it won't fall apart and for some reason it sounds pretty good. A few years ago Martin started making classicals again -- one of them has a raised neck and it's a lot of fun to play -- priced, I believe in the 1-2k range.
So my guitar has, as I recall, a solid spruce top, rosewood sides and a mahogany finger board. As I said, it looks a lot like a 000 steel string, except it's got the classic classical wider neck. 12 frets to the body. The action is low-to-middle. It's light as a feather (I wonder why my bridge doesn't fly off also). I was trying to spend less than $1000 three years ago when I bought it, and it blew everything else away, especially the power of the bass strings (it was the only used guitar that I tried; strangely, it was sitting there at Sam Ash in NYC where they sell very few vintage guitars). I did think that some of the Spanish guitars in the $300-$1000 range were very very nice; the Seagull classical was nice too. (I spent $900 including the original case -- from a collector's (which I am not) point of view, I think I overpaid by about $100, from a sound point of view, I think it compares with vintage Martin steel strings and new classicals that are worth 2 to 3x as much.)
No, I've never played a classical guitar made by a Luthier.