If so, that makes
MUCH more sense why the OP would post about it...
That being the case, applying the GWF style raises each die for smite from an average of 4.5 to 5, so at hardly a notable increase at all, at best typically 2 or 3 points.
Not a big deal at all since smites are limited, and even at 11th level Paladin, with IDS, it is just the 4.5 to 5 bump.
And, of course, unless you house-rule it, GWF style doesn't work with sneak attack (might be an exception or two, but nothing springs to mind).