My ageing Machinery’s Handbook gives the total depth (i.e. cutter feed) as 2.157xmoduls or 2.167xmodule depending on whether clearance is 0.157xmodule or module/6 (the former being the American standard).
Whatever the source both of your figures seem way to high as the addendum =module and dedendum =module+clearance i.e. feed depth is module x 2 + clearance.
What is your source for these figures?
Neil