The benefits of the Huma-Air, BSA Buccaneer and Game Coyote tuning regulator are:
Higher accuracy of your rifle due to the elimination of the pellet speed fluctuations
A constant pellet speed over the full working pressure range.
It will give you a better shot count and a full flat shot string immediately.
Adding a regulator to your air rifle will probably give you the biggest benefit in the tuning process.
Often the rifle will make less noise due to better balance in air usage