By integrating everything into it, it has become a good enough medium of communication for almost everything.

Except that's not at all what we've done.

The only reason English dominates is because it's the dominant language of the world super powers following world war II. It's not because of some special design, principle, or properties.

English isn't just "make up whatever rules and put them wherever", particularly formal English which is what we're talking about in the context of education.

Really, a better argument against changing the spelling is the classic "standards" xkcd, where now you're just making another dialect of English where they spell words differently again, and now it needs to be adopted, fracturing the language further.

Language will evolve with or without direction. We have the structure in the form of schools to actually evolve it with direction in the name of making things more consistent and intuitive. We should use it, that's all.