I don't know where in the world you got those dates; are those perhaps publishing dates? Because he had performed both of those works himself prior to 1910.
Excuse me, performed where exactly? Cowell was 13 years old in 1910, and while he had precocious musical gifts, I'd like to see where in the world you got the idea that he had already written and performed stuff like the Banshee.
In 1906, Ives came out with Central Park in the Dark, which firmly established him on the path of radical experimentation; I seriously doubt the then 9 year old Cowell was any kind of influence on this process. In fact, I would like to see any evidence you have that Ives had even heard of Cowell any time during the next 10 years or so after that. The two men lived and worked in entirely different parts of the country and moved in entirely different circles. Furthermore, it's not as if their music was being given heavy rotation on the radio.
It does seem that Cowell hadn't been familiar with Ives' work until the mid-1920's when a mutual friend gave him a copy of the Concord Sonata, after which he became an enthusiastic Ivesian and the two composers became friends. However, not long after that point, Ives' compositional career was pretty much over, and being in his 50's and shaky health, he was not in a position to be influenced by his junior.
I think it's more likely that there was no direct influence either way. Like Newton and Liebnitz with the calculus, both men were highly sensitive to the zeitgeist, and produced accordingly.
yd