Mycroft: Did He Pass Away?

Margie Deck “Gwen” from Seattle’s Sound of the Baskervilles and one of our most active Members has sent along a very interesting question.  She refers to the Sherlock Peoria blog and a posting that ask whether Mycroft might have passed away when “The Dying Detective” was written.  Here is the link:

http://sherlockpeoria.blogspot.com/2014/06/summer-of-sherlock-greek-interpreter.html

Margie wonders whether anyone would like to reason a response to this question. The premise of the theory is that if Holmes was dying Watson surely would have notified Mycroft, yet no mention of Mycroft is made.

Thoughts? Can you support or refute the position?