It's similar to how the economy benefits from paying workers a decent wage.

Due to many different reasons (including fear of revolutions), western countries decided it was preferable to pay workers a minimum wage. To the elite's surprise, it had an additional benefit to them. It turns out that workers spent the extra money on maybe eating meat once a week or buying an extra pair of pants. Later they even had a name for it: "Disposable income". Yes, the factory owner had to pay more wages, but they also increased the potential customer base.

I think these rooms have a similar benefit to society that is hard to measure directly. There are many stories of "third places" that leads to lower crime levels, lower unemployment etc.

But it has to be done by everyone at once. A single factory owner paying a higher wage doesn't see that benefit. It only works if all the factory owners do it.