It's an education thing. People who know how English evolved know that 'he' can be both masculine or neuter, depending on context. It's been that way since before 'ye', 'thou', 'thy' and similar words went away.
People who are uneducated may assume that 'he' is only masculine and will choose to feel oppressed about it. I can't imagine how bad those people feel using romance languages where half of the nouns are masculine gendered.
It's somewhat awkward, but less so than losing the singular/plural distinction. Style guides are a useful reference, but feel free to ignore their inconsistencies and poor suggestions.