Fire works nicely. Some convert the H2S in the air to SO2 first, then absorb it. Instead of a sodium sulphide disposal problem, they can end up with saleable sodium sulphite solution if they do it right.
In alkaline water solution though, the reaction with dissolved oxygen is slow, and the saturation pressure of oxygen is low. Pressure and temperature both help, but also cost money (capital and operating). Materials selection gets harder and more expensive as temperature and pressure increase.
Peroxide and ozone also both work. So does bleach. All at room temperature and atmospheric pressure, without the materials concerns (if you use nonmetallics in your scrubber). But again, those oxidants cost more money than compressed air. So it's all a balance.