Sorry, but you are cherry picking the constants. One cannot use point loading numbers with a uniform distributed load equation.
The deck is rated by a Uniform Distributed Load. If the deck is rated per sq foot or per square meter, structurally, it is assumed that the load is distributed within that span.
It is the aircraft deck assembly, not just the point of contact of the skin.
It is not a concentrated load as you are describing.
A very good example would be a parking structure. Is is structure rated for the contact patch of the 4 tires? Do you have 4 small squares which you must park on? You do not, parking structures are rated at 50psf, 130kg/sqm because the structure spans the load distribution.
Using your analogy, what would be the required loading for a parking structure, 1360kg/sqm?