It's an example of "workspeak" which seems to have crept in over the last few years. I have seen "Please revert" or "Please revert to me" countless times and it still leaps off the page at me as a very strange usage. It does not mean "reply". It means "return to" or "go back to" which makes no sense at all when what you want is for the person to actually reply to your email/letter/message.
Note that we can and do say "Please come back to me asap on this". In this context "to come back to sb" does mean "to reply to sb".
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