[exim] Remote host foo closed connection in response to init…

I see this logged quite often (up to half of the time) when I connect to
my smarthost, trying to push outgoing mail.

Then next time (when I run the queue) it's just fine.

What could be going on? This has me running in circles :(

P.S. my smarthost is NOT gmail; in fact I have shell access on the
smarthost (but not as root). I know it runs sendmail 8.14.9.

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