Parmandur
Book-Friend
Wayne's style is so distinct, I'm not if you can really say it's "old fashioned". His style isn't really typical of a particular era in fantasy art; it's kind of just its own thing. I don't think any other artists really produced or produce art in a similar style.
Having said that, his art was so ubiquitous in fantasy gaming products from 2000-2010 (Magic cards, World of Warcraft TCG, D&D (particularly Eberron), Pathfinder, etc.) that I can see why you'd have strong associations between his art and a particular era of fantasy gaming. He used to be very much in vogue, but is perhaps less so these days.
Yeah, very Aughts.