How is modularity a weakened form of distributivity?

Question

While reading an essay Lattice Theory- Its Birth and Life, the following line confused me:

modularity is a weakened form of distributivity

Just to be clear, here modularity and distributivity of lattices is being considered

The essay can be found here

A similar statement can be found in the book General Lattice Theory by George Grätzer

Answer 1

Distributive lattices are modular. The proof can be found here for example (it's the first example).

Answer 2

Modular lattices forbid [1 {1, [1,1]} 1] and distributive lattices forbid both [1 {1, [1,1]} 1] and [1 3 1].