You've got it backwards.
A midsize grip (vs its regular counterpart) is +1/32" bigger when using the same core size.
By using a smaller core (or a bigger butt, however you want to look at it), you have to now stretch the grip even bigger. So a midsize with a smaller core will be 1/64 bigger than a midsize with an equal core. (smaller and equal to the butt size).
I'm sorry you don't work in inches, but the entire golf community does when discussing
clubs. I've never heard of a 115 cm driver, have you?