Remaking a character (Batman, James Bond, Tarzan, etc.) is possible, because multiple interpretations are possible. While some may find a particular actor to be the definitive interpretation (ie: Sean Connery as James Bond), at least a new actor and new story can reboot, or produce a story in a new fashion.
However you don't remake "people".
The 3 Stooges were comedians - not characters. They performed live. They made movies. They gave interviews. They lived & breathed. Their unique personalities & talent made the act memorable. We wouldn't expect to see a remake of Jerry Seinfeld (of course, I shouldn't be giving those stupid Farrelly Brothers ideas).
As much as they will tell the world this "honors" the original artists, they could find actual ways of doing that if they were sincere.
I've mentioned before, that a serious bio-pic, along the lines of "Ray", "Man on the Moon", "Chaplin", etc. of the Stooges could be excellent. In the right hands, it could be both funny & dramatic, and honor the artist, while creating new art.
I wish Hollywood could fire the Farrelly's and then just give another director their name to use to make movies. They essentially consent to such a thing.