I think you left a few synonyms out:
noun
(in a man) the quality of having strength, energy, and a strong sex drive; manliness.
"great importance is placed on a man's virility" synonyms: manliness, masculinity, maleness, manfulness, manhood, machismo, gallantry, chivalry, valour, valiance, fearlessness, bravery, intrepidity, stout-heartedness, lionheartedness, boldness, daring, heroism, mettle, spirit; strength, vigour, toughness, robustness, powerful build, muscularity, muscle, brawniness, sturdiness, ruggedness, heftiness, huskiness; red-bloodedness, sexual potency, potency, sexuality, fertility, fecundity; informalladdishness, hunkiness, beefiness "there was a virility about him that showed in his every movement"
The two questions posed remain unanswered, and I left out all synonyms because the word used in your post is virility, not some other word. Responding with a discussion of synonyms sidesteps the issues raised.