I've been building enclosures for over 20 years and have tried all the most popular methods.
I wouldn't go so far as to say that an only glue joint is stronger than a glue and screw joint, I don't believe that for a minute.
However I've been using glue with Brad nails for around a decade. Probably close to a dozen enclosures built that way and haven't had a failure yet. I'll definitely never go back to screws again, there's just no point IMHO.
The glue is definitely the strongest part of the joint. The only way I could see it being any better would be to use biscuits in the joints. They would add more structural integrity than screws ever could and using them would also virtually eliminate the need for any mechanical fasteners like the brad nails.
The only reason for the mechanical fasteners is to stabilize the joint while the glue sets up and even then I won't typically take the clamps off until the glue has had time to cure.
That's just my .02 worth.