I'm another 'no'.
There are some very old text-based video games that some MUs may have similarities to, and there's little argument the roots of MUDs with a high level of automation likely flow from there.
The kind of games predominantly discussed here branched off from there, and took a decidedly different direction over time, with a few exceptions. We don't really get into the RPI and MUD style games here (in discussion; I'm sure plenty of people posting here play on them also), however, so the MUX/MUSH style games are fairly distinct at this point.
Some are closer to simulated tabletop RPGs, but those aren't video games. There are formats now to play tabletop games more directly online, but those are relatively newer than MUX/MUSH for the most part. Other MUs are completely freeform, and could arguably be played on IRC or anything else that allows people to throw text at a shared document or website, like a forum or email chain. And while these two far-end-of-the-scale approaches are possible in and by other means, the experience of them tends to be different in ways that people have discussed at some length. Most MUs are a hybrid of these things, anyway.
Are there more 'interactive fiction' style video games now? Sure. They're more along the lines of a 'choose your own adventure' format, for the most part, though, which is more or less like going back to the old old old text games of this kind and adding visuals to them.
So... pretty much no. In the same way that someone can RP on WoW or similar, it's not the point for which the game was primarily designed. Ultimately, that's where we are with MU.