Also all the sound stuff was outsourced! id hired Bobby Prince to make the music and licensed a playback library which seemed to have enough problems already with the supported sound cards. https://doomwiki.org/wiki/DMX
So they'd have had to extract this feature from a vendor where the relationship is already breaking down, or ditch it all and start from scratch with a new vendor, or inhouse code.
On top of that, the claim in the post seems to be based on the Linux Doom architecture, which has a separate sound service that didn’t exist in the original DOS version.
This is just someone cosplaying early 1990s development with the benefit of decades of subsequent OS and software design.