I don't know about your experience or situation, but a confound is that usually people with strabismus have bad eyesight in other aspects in general too. Usually, developing strabismus is the result of other issues with eyesight. The obvious confound is basically having only one good eye to use at a time, and thus also less neural pathways developed and utilised than those who use 2 eyes. This could make visual perception tasks like tracking a fast moving ball harder regardless of the actual role of depth perception in it. There could be tasks where reliance on perceptual cues for depth perception is less effective, but I wouldn't think a moving ball is that kind of task.

You might well be right. My eyes are definitely not great on top of the strabismus and lack of binocular vision.

One of the main issues with tracking things is focus switching from one eye to another based on where it's moving.

That said I do think the issues with pouring things is more of a depth perception issue. I basically have to switch focus from one eye to another to be satisfied I'm aligned where I want to be.

Pouring things sounds more like sth that could be a depth perception issue, true, though I never actually noticed that for myself. I believe I find it harder than usual passing a thread through a needle though because of depth perception issues.