While this would be dumb, you don't have to dig very far to recognize the very strong sci-fi inspired elements in the series.
Besides the clearly Star Wars-styled Chitin helmet in Morrowind, there are:
divine space ships
human and elven space ships
robots
giant robots
a moon colony
and essentially magical email
Any empirically described magic is indistinguishable from technology.
Then, during a siege in one of the many wars in Tamriel, the local commander thinks that enough of that exploding potion could blow off the gates....so he sends for the alchemist who (after a few side quests on the way) creates enough potion to actually destroy the gates, resulting in the capture of the fortress. Tamriel now has a new wonder weapon.
But magic can do that more reliably and cheaply. I don't deny that guns and cannon would be useful to many people in Tamriel, just that they wouldn't see the advantage in developing the related technology to the point of creating a useful weapon. Weaponized gunpowder would be nipped in the bud by readily available magical weapons even though a fully-developed cannon would be useful.
Case in point, the notoriously inventive Chinese did not put gunpowder to military purposes. Technology is easily ignored, especially when it is obscure and restricted to the elite.
What happened to those guys anyway?
Turned themselves into a thousand-foot tall stompy robot.