Hi Shubhojit,
Thanks for asking this excellent question. This is just a convention because traversals from right to left are the mirror view of the left to right traversal. As you mentioned, another idea would be: our natural psychology is to traverse from left to right order.
But sometimes: we also use reverse traversal in tree problem-solving. For example, we use reverse in-order traversal in the case of BST. So understanding the recursive flow of reverse traversal is a good idea.
For example, You can try solving this problem using reverse in-order traversal - https://leetcode.com/problems/binary-search-tree-to-greater-sum-tree/
Enjoy learning, and let us know if you need any further insight.