It becomes the Old Steinitz Defence after black move 3, so your opponents do play it correctly!
To my eyes you seem to have invented a strange Scottish/Spanish hybrid with 4.d4 (suggest you call it the Andy Murray ...)
OK, I'm being facetious, It's a perfectly valid response, just as Andy Murray is a perfectly valid tennis player (if just short of the very best...)
I tend to play somethng else on move 4, but white has several valid responses to 3.. d6, all of which are "correct". Look in the database you've paid for...
Black's position is "OK" after move 6; no worse than under most "Spanish torture circumstances".
Do you usually win from this situation as white? If it's 50/50, then that's fine...
I noticed, after watching a video by GM Roman Dzindzichashvili "Ruy Lopez: Steinitz defense!", that I played more than 100 games as white with C62 (the old Steinitz), but most of my opponents did not play it "correctly" (6... g6 seems to be the correct continuation according to Roman, but it is rarely played). In the illustrated position, most internet players continue with 6...Nxd4?! 7.Bxd7 Qxd7 8.Qxd4. Maybe they hope for a blunder from white, I wonder, because the resulting position is rather sad for black.
Note that 6...Nf6!? is also a book move, and is sometimes played. 7.Nc3 Be7