If you recover your 360 account to your regular xbox yes you can play games that way.
[quote name='007']Not to piggyback, but this is something I've been meaning to ask.
If there's a game for the original XBox that has downloadable content (say, Splinter Cell), is it possible to put it in the 360 and download it that way? I ask only because I know that most DLC Xbox games had the options directly through the menus, but what I'm unsure of is whether that content is actually even hosted anywhere anymore.
Thanks![/quote]
The last time I checked, yes you can. But I don't know when I last checked. July last year, I think.