Its a grey area that really doesn't get talked much about...
I think it is Ok to run smaller stringers than the min size per D1.1 to seal these joints as long as the structural welds are in place.
Does this fall under D1.3 by chance(you mentioned "not structural, less than 1/8"), since it is not covered by the scope of D1.1...See D1.1, clause 1.2.