Yeah, interesting that. I think it's 'easier' to just to say full profile when there's like a mm or 2 of concaving. I'd class that as a bat with minimal concaving personally, but it can be confusing as I'd also think of a bat with minimal concaving as 'quite full'. I'd say that convex (Newbery Tour, SS Jumbo), concave (M&H CK22, GM Icon) and plane (GM Brava, Newbery Mjolnir - at least some) are 3 definitions that could be used for what you see when looking up from the toe, and the 'fullness' of this is more for the degree in which wood is present between spine and edge.
'Indian full' is a term that a batmaker I know uses, which is a homage to the SS/SG style of 'full profile' shapes, where they had this very minimal concave. (Ranges like the SG Sierra, and the old SS LE Players profiles)
Can anyone help me out with this. I've seen a number of bat makers; Keeley, H4l for example; advertise their bats as full profile in shape. Yet they distinctly look concave and not convex. Is there a difference between what they consider full profile and a fully convex shape?
Sometimes it could just be the angle/lighting too that might be what makes it seem like this. Your best option would be to ask directly what they mean when they say this. If you're looking to buy from the Keeley flash sales though, you might find that the bats sell before you get an answer to your question