I did quite a bit of googling on this, but was unable to find a definitive answer. I did see several posts about matching the VPI/VCI pair, but no word on whether or not this is something that all DSL modems do.
I did see some posts about regional differences in setting up modems, but again, nothing definitive.
It seems that most local tech stores (Best Buy, etc) carry modems appropriate for the region, so it's safe to buy locally, but that doesn't help when you're shopping eBay or Froogle.
In the end, Best Buy had the same model as the one that broke, so I just purchased that one.
But it would still be nice to know the ultimate answer to the original question.
No. But I did learn that electronics stores in the region will likely be carrying replacements that are compatible with the DSL in the area. Also, the more informed shops will know which models will work with which service.
I did learn, however, that when it comes to CABLE modems, pretty much any one will work with any service as long as it's got the same (or higher) DOCSIS version. Although with one client's service, the cable company would not allow us to use it because it violates their terms of service.