In my experience, there was a time, back in the 1970's, when a male, playing a sport, was expected to wear a jock strap. This was an article of clothing that came in two varieties, either a two and a half inch "waist" band with a "pouch' that encased your penis and testicles, that ended below with two straps that connected to the 'waist' band, and left your entire ass exposed, or a similar article of clothing that instead included a 'waist' band that was only an inch wide, and sat very low on your hips in bikini mode, with a similar pouch and straps.
In both instances, the pouch was very snug, and tended to hold your penis and testicles 'in place', with the elasticity of the pouch material, regardless of physical movement. This was referred to as 'support', unlike say boxer shorts, which allow your junk to hang according to gravity, and move around independently, inside your shorts or trousers.
A feature of the 'jockstrap', regardless of style was that there was a hard plastic 'cup' that could be inserted into a built-in sleeve or second layer of material, in the pouch, such that you could - if so desired - add a measure of 'protection' to the penis and testicles during those activities, such as baseball, soccer, hockey, whatever, where a ball or puck, or another article of the sport (a stick, a blade, a cricket ball, whatever) could possibly be taken by the wearer into the crotch, during regular play. It was believed that such an article of clothing, worn with the protective plastic cup, would therefore minimize the chance of injury to a very susceptible, and somewhat delicate part of the male anatomy, possibly leading to impotence or compromise of that male's ability to father a child.
SOMEWHERE along the minds or the general population, the protection aspect got lost, and the jock strap, in its many configurations, mutated in the minds of the persons who might wear one for protection reasons, became something else, either sexual, or related to our common definition of masculinity.
So ! what you have are several items ... an arguably very comfortable article of clothing, versus a 'price of protection you have to wear to protect yourself during dangerous sport', versus an strange sensation of a protective device which requires you to wear straps that leave your ass exposed, versus a ridiculous article of clothing that emphasizes your "man-bulge" or lack thereof.
My personal experience was that whether wide waistband or narrow, whether elastic pouch or other, whether cup in or cup out, I personally found that jockstraps for me, at least, never fit properly regardless of manufacturer, they were too tight around the abdomen, the straps cut into my asscheeks, and not one of them made a pouch (cup or no cup) that accommodated my penis and testicles in a comfortable, wearable fashion. The damn things just never fit, and I hated wearing them so much, I dropped phys-ed at the earliest opportunity during my highschool years, and have not play sports since.