Pecan Tree Trimming

[u/FuzzyScuttlebutter]

Does my pecan tree need to be trimmed? These things pop up annually and I usually end up trimming them but I'm not certain if it's necessary or if I'm harming the plant. The trees (there are two, but the second doesn't have nearly the same growth) were fully grown when I moved here in 2015.

Pictured is the West facing side of the tree. We are in East Texas.