Men & women already compete in equestrian events & always have - women do not dominate
Shooting - in the mixed events that have been held at the Olympics only 2 women have won medals
I’ve no idea what you mean by certain types of gymnastics but presuming you mean amalgamating all artistic gymnastics events into one category - vault, floor, high bar, parallel bar, rings would almost certainly be dominated by men with superior upper body strength, stamina & speed. Women would never become all around champions
Darts - already open to women & has been for a long time but only Fallon Sharrock has broken through. Theoretically no reason women couldn’t compete equally but dominate? Not for decades
Pool/snooker - again men’s snooker/pool is open to women if they make the qualifying but hardly any do so the chances of them dominating are again slim to nothing
Chess - really? Again chess tournaments are open to women if they qualify but they don’t
Not only do the physical differences between the sexes have to be considered but also the fact that society is inherently sexist. Even in sports where women are successful, elite sports women repeatedly report kit that isn’t adapted for women, lack of training facilities, lack of coaching, poor or no pay, etc etc Laura
Every sport where a woman has a chance of making a living would be dominated by men. Laura kenny is amazing - how far do you think she’d get competing against her husband in cycling?