Is the mechanic on the "older" side?
This was before my time as i'm a relative youngin... so someone else who lived through this era please correct me if the following is wrong....(Edit: yes this is 2nd hand information that I have not personally verified.)
My understanding from talking to some of the more seasoned engineers at work is that gasoline companies used to "up-sell" their premium grades by putting special additive packages in it, and not including those additives in the lower grade fuels. So at one point there was some logic behind running premium in your engine to help "clean" things out.
Since then however, regulations have been passed that require a minimum amount of additives be included in every fuel grade (i'd have to google to figure out what regulation). So you're still getting the additives now and there's no reason to run premium for this feature anymore.
With that said... some companies still try to up-sell their premium fuels saying they have more or newer additives. Considering how money hungry oil companies are, I'm skeptical that ANY grade of fuel has anything more than the minimum additives required.