Don't bet on it. Shanahan probably runs things and he may be buddies with Keefe.
There's new people above Shanny. There's already been reports that everybody might be out if Leafs crash & burn in playoffs again - even Shanny.
Besides, Keefe is Dubas's guy, and not Treliving's or Shanahan's. Dubas was G.M of SSM Greyhounds, and Keefe was his coach. When Dubas joined the Leafs, he hired Keefe as Marlies coach. When he became G.M., he hired Keefe as Leafs coach when Babcock was fired.
If Keefe gets fired, I wouldn't be surprised at all if Dubas fires Sullivan and re-hires Keefe.