If someone was willing to pay me, if the original content was still there for people to enjoy if they so choose, and it wasn't more trouble than it was worth, absolutely.
My goal would be to make a product as many people as possible can enjoy. Not wrap myself in "artistic integrity"
Note the "more trouble than it's worth" is still a valid point
You still seem to me to be looking at this exclusively from the angle of someone talking about a video game they intend to play, so I'm not sure I think we're on the same page. If you wrote a script or a novel, or created a painting, and they asked you to make an alternate version with aspects removed--keeping in mind that your end game had always been to make something that was both complete and revised to its' ideal state--you'd be cool with that request?
If so, fine. It's certainly not my place to impose my perception of integrity on how other people treat their own work, but I still think that request would be disrespectful in the first place.
I'm not sure why artistic integrity is in quotation marks. If it's not something you believe in, we're going to get nowhere with this discussion even faster than I thought we would.
Another way to look at this: all writers are sell outs, to varying extents. Unless you're writing a book, where all you need is a paper and pencil, anyone making a film/tv series/anime runs into this problem. Viewership is important and these medium tends to be expensive. This is why something like Hannibal, despite great reviews, is getting canceled while Walking Dead is still ongoing. Personally, I would be surprised if any writer didn't at least consider the role which viewership plays, given that they have to be able to sell their ideas to an audience to keep their writing afloat. Games are art, but they are also a consumer product.
It goes both ways. All of those things are consumer products, including books. I'm under no illusion about the need to appeal to an audience for the sake of success, but again, I'm not dealing in absolutes here. Your other way of looking at it seems too starkly black and white to me. As far as I'm concerned, selling out is a matter of degrees and where a writer draws the line between writing what they want to write and what they're told to write.
I believe the goal of any artist, writer, director, whatever, should be to deliver as precise a work as possible. All of the unnecessary fluff should already be removed when they deliver their final product. Therefore, everything left should be somehow important to the story or the characterization. Which would mean that the removal of anything would then damage the story or the characterization.
A writer can also be assigned a task without being a sell out, but if they're sacrificing quality in order to complete that task, then they're also sacrificing integrity.