Church moral teaching FOLLOWED and is based on Natural Law. 

Observation of the natural geometry and total physiological complementarity between and men and women leads to certain findings and conclusions regarding the natural order of our body's design, purpose, and operation. 

As our science and observation deepened over time we found that the complementarity between men and women only deepened!

Long after the Church drew moral conclusions about the natural order of men and women (based on observational methods available to it at that time) scientists have found still more complementarity.

A woman's immune system, for instance, otherwise intolerant of foreign substances, quiesces in a particularly purposeful and complementary way during ovulation, allowing semen and sperm to serve their purposes.

So were we to "remove that thread"....nothing would change!!

The rest of the comment is just adornment, no meat.