I heard a story yesterday of a "Master Gardener" that wrote a book recently. His solution for broadleaf weeds is to mow real short then let it grow out, repeat, and rinse

The broadleaf cannot survive the abuse of cutting that low (in his study or theory) however, the grass can. Eventually only the grass survives.
My initial thoughts are: May not work with dandelions, and if heat hits after a scalping - problems could occur.
What are your thoughts of this alternative to broadleaf chemicals?