This is a neat experiment, Tarev.
I can confirm that your amaryllis don't need the cool dark closet treatment in order to bloom. They are perennial garden plants here, and keep healthy green leaves all year 'round. They bloom in the spring like clockwork in everyone's garden. Mine are on the north side of the house, so they have cool shade during the winter, but still keep their nice green leaves.
So if you have them indoors, they may need to be moved to somewhere cooler, to simulate a "winter" and the leaves may stop growing, but I think cutting off any healthy green leaves will just weaken the plant, overall.
The cool dark closet is for forcing paperwhites, tulips, daffodils and other bulbs that really need a certain amount of cold, winter dormancy to bloom.