I've written about the French Exchange a few times on our club blog. The most recent article (which contains links to the others) is here:-
http://streathambrixtonchess.blogspot.com/2008/02/interesting-french-exchange-iv.html
(It includes two nice, if quite well known, wins by Korchnoi against 3. exd5).
As for the influence of Morphy on club players today ... I doubt it somehow. I suspect those who play the exchange do it mostly because (a) it's just easier and (b) it gives a more open game.
I know (b) is probably why Morphy played the line himself but I'm not convinced his opening repertoire is widely known at club level. Not the club level I play at anyway.
You probably don't want to listen to me, though. I've just finished this game:-
Game 4478552
[edit]
just realised that game link is pretty much useless because it's one of those with no game history.
I was on the black side of a game that started
1. e4 e6, 2. d4 d5, 3. exd5 exd5, 4. Nf3 Bg4, 5. h3 Bh5 6. Qe2