The functional purpose of H1 tags is to identify sections of text so CSS formatting can easily be applied such as text size, bold, font, etc. Those text modifiers don't apply to images.
I checked and enclosing an image within a H1 tag is actually valid HTML as per the W3C standards.
I doubt this idea has ever been tested to see if the alt tag was given any increased importance because it was contained in a H1 tag. I would not believe it would as the entire point is bold or enlarged text increases visibility, whereas ALT text is not visible to most readers.
This is an instance where you are making a change that does not benefit users in an effort to manipulate search rankings. I wouldn't suggest it as helpful.