As I’ve said in other comments what seems to matter is the ratio of time spent in a fed state (body delivering nurtrients) vs a fasting state (body using fat for energy, depleting stores of things and doing housekeeping).

From that perspetive running could help, but only from the point of view of possibly getting you to the fasting state more quickly (a kind of kickstarter), but it would be easy too derail that by eating to soon or a hundred other things.