The thing is, TOS is even more self-contained than Voyager and TNG, and had fewer episodes, looser world building and a LOT less background material (e.g. "none"). On the other hand, the series that immediately followed Voyager was set in the 22nd century and basically used First Contact as part of its background.
So Discovery has a choice: either set itself some years after Enterprise, or set itself some years after Voyager. They chose the first option, probably because the fictional history between Enterprise and TOS is large enough to fit ALOT of interesting stories.
Which leads us to wonder (and expect) that some day we'll get a TV series based on the adventures of the Enterprise-C. The butthurt fan rage will be completely through the roof when the new version of the ENT-C utterly fails to look like the Yesterday's Enterprise version and doesn't recycle the Monster Maroon uniforms.
I always thought it was ridiculous that they kept the TWOK Uniforms as long as they did. But -- unless they have a Pike spin-off -- I think DSC will be the last prequel.
I don't know why other than a gut-feeling. The next series to come out after DSC ends will be well into the 2020s. By which time we'll start seeing people who grew up with TNG in charge (meaning it was part of their childhood). DSC is the first Star Trek series to be created by someone born after TOS premiered. Bryan Fuller was born in 1969.
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