Oh no, it definitely does stipulate countries without cities specified at times. The agreements covered both Atlantic and Pacific routes which passed through U.S. and U.K. points plus their individual territories. The Bermuda agreements even covered U.S. traffic rights to Hong Kong plus how beyond rights from there could be structured, such as Thailand and Singapore could both be served beyond HKG as long as they weren't combined on the same flight.

Both Bermuda 1 and 2 are interesting reading if you're into that kind of stuff.