Both look cool, and both can be make from home for cheaper, if you've a mind for it.
However, in your climate, if you've molded the earth around your tree to collect rainwater, you may not have a need to irrigate at all after a few years, so I'd pick the bucket method, as it's more removable. You can also move the bucket to different spots under the tree whenever refilling, allowing the
root directionality issue to be minimized.
Growing on my small acre in SW USA; Fruit/Nut trees w/ annuals, Chickens, lamb, pigs; rabbits and in-laws onto property soon.
Long term goal - chairmaker, luthier, and stay-at-home farm dad. Check out my music! https://www.youtube.com/@Dustyandtheroadrunners