Perhaps such a proposal has already been expressed. Sorry if I repeat.
I would like to suggest, perhaps even ask the developers, to do the following thing: to include in the letter about the private message of the message itself. I mean letters that come to the e-mail and messages here
habrahabr.ru/mailWhat is good: firstly, it is immediately clear what the message is (request for the first round, or indeed the message), secondly, in Gmail, the entire contents of the letter will not be eaten as “quoted”, because which, if there is more than one message per day, it will be easier to trace the chains, and finally, you can immediately ignore the message if there is nothing urgent there (i.e., you can see from the mail whether there is something urgent and important there).
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If this threatens with some additional server loads (which is doubtful), you can enter the corresponding checkbox in the profile, which is disabled by default, so only those users who really need it will use this function ...