I'm not sure what this means for its future, but a friend alerted me to a Craigslist item (dated 1/27) advertising the former Sennett studio as a potential charter school:
"Site of the former Mack Sennett Keystone Studios, the first film studio in Los Angeles. Last used as Center Theatre Group's prop and stage production facility. 30,000 sf, 24 foot clear ceilings, 60 foot clear span. Great potential for use as a Charter School. Up to 300 cars of parking. 2 freeway onramp and off ramp for Silver Lake and Echo Park. Close to 101. Clear shot to downtown LA. 2 miles from 5 freeway."
In the 1990's, the remaining stage from the Sennett studio was saved and incorporated into a Public Storage facility, with adjoining buildings added. Apparently, however, that is no more. It links to a page which states that the entire campus (4 buildings) is is for rent/lease for $10,000/mo.
This page mentions its possible use as a production facility or recording studio. It certainly would be fitting for the place to return to its original use as a production studio. Hopefully this is not a harbinger of anything bad in terms of the life of the Sennett stage.