Q.Cordyline: Does it dry out ground
My Cordyline australis is now about 9-10 ft tall. The ground at least 6ft away is cracked and so dry; is this likely to be the Cordyline causing it?

Certified GKH Gardening Expert
According to the article below, your tree is drought tolerant, so I don't think it is absorbing all the water available to quench its thirst. Nor are its roots especially damaging.
You might try increasing its water since it can also tolerate moist soil just to see if the surrounding ground improves.
That is a lovely garden space by the way.
https://selectree.calpoly.edu/tree-detail/cordyline-australis-atropurpurea