Air pressure in the old fork tubes helps as an anti dive feature during heavy breaking and increases load capacity somewhat.
You only run 3-4 pounds max in these, unless you like frequent seal replacement or like to see them leaking.
They fell out of favor because the compression of air creates heat, which makes the air expand and the pressure increases even more. Each time the fork compresses, the air gets compressed, too. So, if you do a lot of heavy braking as in the twisties or road racing, air pressure changes, effect the handling, as in changing the front rear weight distribution. Then balancing tire traction near limits becomes harder to predict leading to a low or high side crash as one tire goes over the traction limit.
It is important to have a balance tube to equalize pressure between forks. Running one with pressure and one without makes for some very unpredictable handling.
Every cafe racer should have those. They look so cool when parked. And start lots of conversations.
You don't actually have to put air pressure in there.
Cheers,