I wish I could find it again, but years ago I saw a video about why you couldn't make Blazing Saddles today, aside from it already existing/permission/etc. It wasn't the racism or anything, or how people today are too sensitive.
It couldn't be made today because Blazing Saddles basically destroyed the entire genre.
Prior to its release, Westerns were everywhere. They were incredibly popular, with countless movies and TV shows released every year. Then this movie comes along, points out all of the overused tropes, and reveals the formula they've all been using. The genre of Westerns has never recovered. It would be lampooning obscure content with dated references that people don't understand.
That's the real reason it couldn't be made today.