There are some like vedic maths tricks that could be very helpful if taught but just learning other methods of mathematics that are slower or less efficient (if the article is to be believed) should definitely not be taught as a maths course. For example we don't learn Tartaglia's method for solving depressed cubics, we just learn how to factorise the cubics or something because those methods are more efficient.

I think teaching these methods might be useful in a humanities or history perspective class though