Would sharing a common written language reduce the severity of linguistic drift?

In my setting the known worlds have recently begun coming out of a medieval stasis after about two thousand years; the lucky worlds at least. Prior to the event that destroyed their technology and all the knowledge pertaining to it, the peoples possessed a common spoken and written language.

With ships traversing the ether once reconnecting worlds, these scattered people are interacting once more.

Would sharing a written language be enough to make the "common tongue" at least somewhat comprehensible between worlds or would the written form have drifted as well?

posted about 8 years ago

Trismegistus‭

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