“IMO you can’t make something bigger without adding material, just change it shape,”
A tyre is bsaically like a partial circle with part of its circumference made up by the rim, so adding a wider tyre does add material. But it makes very little difference unless you go to extremes, I maesured up a 17mm rim and a 25mm rim and it widened the tyre by just a couple of mm.
But yep shape can be a slightly bigger difference as it’ll flatten off the tread face which can change how the sideknobs work. With decent tyres that have a godo shape to start with again it doesn’t really make much difference except at extremes but with overly rounded tyres like say a hans dampf it can help to pull them into a better shape