Interesting, and thank you. Where did you come across this information, if I may ask? If indisputably valid, I would like to include it among the information offered at this humble site.
There is a site called the Internet Broadway Database (similar to imdb.com) that contains a listing for KEEPER OF THE KEYS and its 23 performance run in 1933. I've linked above. William Harrigan was indeed cast as Charlie Chan.