Let me preface this with that using words like Always or Never shouldn't be considered on this topic.
So, Generally;
Dovetailed underlugs were used with pins, and staples were used with flat keys. Never say never, but I don't think I've ever seen it the other way around.
Pins seem to be on earlier rifles (1760/80), flat keys more like an 1790/1810 thing, then pins seem to take over again about 1825 and later.
Flat keys were used on many fancy guns, but were used on plain guns as well. And you can say the same for pins too.
And just oppisite of Dave B observation, I've seen many swamped barrels, both fat and skinny, with staples. Given the area of the waist of the swamp, they don't usually have a staple or dovetail right at the waist.
And I agree with Taylor in that dovetails were,,,,, always,,,, very shallow.
So there ya got it,, but then I just got out of bed too, so take it for what it's worth.
John