Indeed but what's wrong in writing x + y (with additional spaces) ?
Having the possiblity to write for instance +blah instead of inventing
things such as $>* is neat in my opinion (in code or for typesetting)...

I believe it was Bulat Ziganshin who once proposed parsing

x + y*z + t           as           x + (y * z) + t

and

x + y  *  z + t       as           (x + y) * (z + t)
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