Say what? The S in DSL stands for Subscriber.
There was some later use of HDSL (T1 over 2, and later 1, pairs) to serve remote concentrators (not full central offices). However, the engineering constraints on the circuit (no load coils, special repeaters needed, and so on) meant that this did not get a lot of deployment by telcos to carry customer voice calls on the PSTN. By that time, the conversion to fiber was well under way and by the mid 90’s, telcos were often installing fiber even for customers who ordered T1 circuits.
Western Electric central office switches (non-tandem) before the 5ESS had analog trunks to the rest of the telephone network. There were external channel banks which converted those into digital transmission paths when going over digital circuits. A digital circuit was not guaranteed - for example, L carrier (you might have seen “Warning: Transcontinental coaxial cable” signs along railroad tracks) sends over 10,000 calls over an analog link.
The first big push for digital interoffice links was for SS7, which moved the call setup and routing out of the in-band channel. The phone company wanted this to get rid of the “phone phreaks”, and the fact that the US government had an interested in it and “strongly encouraged” its deployment helped move it along. But the calls were still on analog trunks.
These days, almost all trunks are indeed digital. But there is very little intermixing of digital telephone traffic with other data traffic, either for telco internal purposes or for circuits sold to customers. They may be in the same fiber bundle, but not on the same circuit. And that voice traffic doesn’t need “priority handling” as it is time-division-multiplexed into higher and higher levels of digital signalling - a voice channel has a “reserved seat”, whether it is being used or not.
Again, say what?
The 56k limit on a DS0 (a single voice channel in T carrier or higher) was due to a design decision made in 1958 due mostly to the technology available at the time, but partly for marketing reasons. The other 8k isn’t used for emergency services, instead it is used for housekeeping functions (primarily if the “phone” is off-hook or on-hook).
The 56k limit on analog modems is not exactly related to the DS0 limit. While the analog path will be capped at 56k due to the DS0 limit, other impairments may result in slower (often substantially slower) speeds. Look at the V.90 standard (Wikpedia 56k article) for more information.
The next step for customer circuits was ISDN, which was a near-total flop in the US for a number of reasons. Telcos eventually offered IDSL as the “last choice” for customers who were too far away (or had other loop impairments) for ADSL.