I have a 3/4 and a one ton DRW and both get our groceries from time to time.
The grocery getter is coined by mostly folks that use one ton trucks and very ignorant persons on the subject that knows little about trucks.
The half ton trucks has GVWRs that range from 6xxx GVWR with 3800 lb RAWR up to 8600 GVWR and 6084 lb RAWR... So what is a grocery getter.