Only when you dimensions are truly independent and that is a stretch. Really what you are saying is that you are more likely to find a field for your problem, and fields don't exist in more than 2 dimensions.

Consider Predator Pray with fear and refuge, which is indeterminate, and not due to a lack of precision but a topological feature where ≥3 open sets share the same boundary set.

https://www.sciencedirect.com/science/article/abs/pii/S09600...

General relativity, with 3 spacial and one temporal dimension is another. One lens to consider this is that rotations are hyperbolic due to the lack of independence from the time dimension.

Quantum mechanics would have been much more difficult if it didn't have two exit basins. Which is similar to ANNs and linear regressions being binary output.

(Some exceptions will orthogonal dimensions like EM)