Not really, no. Chevrolet has never been a "classy" brand. Sure, they've always had The American Supercar, the Corvette, but I grew up in a Chevrolet family... we used to have a Camaro, then a Caprice, then the Chevy/Opel Monza.
And honestly, while the Camaro was nice, Chevrolet's regular car offerings over the years have been a mixed bag. The Monza was a piece of garbage, and I actually liked the Ford Laser we replaced it with more.
History? Chevrolet is known in America for crappy interiors, poor build quality and terrible reliability. Mention the words "Chevrolet" and "compact" together and you get groans. The only thing worse than the Chevy Cavalier was the Pontiac Sunfire, and Pontiac is also a GM division. At least now, the only dingus left in the line-up is the Aveo (soon to be replaced by the Sonic), but Chevrolet has never been an upmarket or aspirational brand, unless you're a flag-waving American redneck.
Hyundai's cars twenty years ago were garbage... but so were Chevrolet's. Chevrolet's cars nowadays are 100% better than before, but Hyundai's are 200% better than before and about 25% better than Chevy's (except in the Cruze-Elantra war... I'd call that a tie). So no, there's no real reason to buy a Chevrolet over a Hyundai if you're looking for badge-appeal.
If anything, Chev-woo's (Chevrolet-Daewoo, since most of the mass market cars are Daewoo sourced) "history" is its biggest weakness here in the Philippines. Too many people remember such "hits" as the Chevrolet Venture (you should read that thread... epic!) and the the Daewoo Espero. Question: What costs less secondhand than a ten-year-old Espero? Answer: A Cornetto!
Issues with quality, engineering, marketing and management were what brought GM down during Carmageddon. That's why I think it was the right move to reinvent Chevrolet locally under a new management team (TCCCI), to break ties with the old and try to assure people that GM-Chevrolet's history won't be its future.