Gas Arrow and Chaos Damage Interaction – Tooltip Confusion

I’m a bit confused about how chaos damage interacts with gas arrow. Since gas arrow has the chaos damage tag, I expected that picking up increased chaos damage would enhance its effect. However, I noticed that the tooltip for poison damage per second doesn’t change when I allocate chaos damage increases.

Does this mean chaos damage isn’t affecting the gas arrow’s damage as expected? Or is it possible that it’s working but isn’t reflected in the tooltip?
Any clarification would be appreciated!

It works correctly but the tooltip might be confusing. This video explains poison scaling: https://www.youtube.com/watch?v=7DX-gc4xfAA

Thank you very much! Understood it