Question about how wide a size range a particular rim will fit. For instance, a typical road bike rim will take at least 23,25,and 28mm tires (approx). So a touring bike for example, that comes with factory 40mm tires, and can handle up to a 2" tire for gravel, will it likely be able to take a 32mm (1 1/4") road tire?

I'm just not sure how much size latitude would fit a particular rim, and yes, I realize I'm probably generalizing here as it would be specific to each particular size rim.