But no one has time to craft such details in the code.
Specifically d+e*g I might make an exception for in a code review (and allow it), since it's such a widely known precedence in mathematics you can expect the reader and writer to know the way it goes, but any more complex and I'd reject it in the review for lack of parentheses.
I will use parens, however, for << and a couple other cases. It would be a shame to use lack of spacing to imply precedence, and yet get it wrong. Oops!
I also like to line up things to make vertical formatting of similar expressions, something a formatting program doesn't do. Hence I don't use formatters.
I would say it is a neat detail but if no one cares or uses it - it is pretty much "feel good about yourself" use and not practical one.