I feel like in near future the meme about "it's all just chatbots emailing each other" will actually be true. I wonder when I will receive my first AI generated email and will I bother to respond to it at all

It's already here. My company received an AI generated bug report the other day, and my AI employee ("R. Axiom") noticed, analyzed it, prepared a fix, tested it and replied to it. I wasn't involved, although I will review, merge and release the fix.