First things first: I know about the difference between end-to-end-encryption and transport encryption.
Back to topic: I already read some things about how mail server handle transport encryption, e.g. How Can You Tell if an Email Was Transmitted Using TLS Encryption?.
Here are two examples for incoming mail to my provider's mail server (I edited the second one):
Received: from mout.gmx.net (mout.gmx.net [212.227.15.19])
by mx02.posteo.de (Postfix) with ESMTPS;
Received: from XXX (YYY [1.2.3.4])
by mx02.posteo.de (Postfix) with ESMTP
Does the occurrence of ESMTPS in the first example mean that TLS was used for transport encryption?
Does the occurrence of ESMTP in the second example mean that the mail was transferred unencrypted between the two servers?