And one of the more out of shape folks lands wrong and blows out a knee, or runs too much and drops of a heart attack, or... The opportunities to get sued are practically limitless with such a thing. My own employer gave up on the idea a few years before I came on when somebody ended up with a compound fracture in their leg as part of a friendly basketball game. Ran, fell, landed wrong, bones sticking out of torn muscle, not a good day for anyone...
If there was any chance of benefit from a once-a-week thing, maybe it’d be worth it, but someone who habitually overeats and is significantly overweight isn’t going to see that “exercising can actually be fun” from a half-assed sportsball game once a week. They’ll see that exercising makes them hurt and sweaty and out of breath and oh-by-the-way they worked out, so they “earned” a “treat” after work which puts them an extra 1000kcal over their BMR for the day, and they get bigger as a result
You can’t outrun a bad diet. Encouraging someone to exercise without convincing them to also bring their intake inline and preferably below their maintenance calorie level is more likely to injure them, turn them even more off on the idea of exercise, and make them fatter.
Unfortunately an employer can’t realistically convince anyone to change their eating habits. Even if anyone would listen, the idea of my employer being able to say, “Put down the extra slice of pizza, or you’re fired,” isn’t something I’d like nor respond well to. For most people, even their closest friends and family can’t convince them.
It takes a personal moment of clarity, and for some people that never comes. Mine came after seeing a friend who was always about my size drop half is body weight over a couple of years between seeing him. It was the kick in the ass I needed. If he could do it, maybe I could too. 180lbs down, maybe another 70-80 to go...