Only Home and Pro were eligible for digital entitlement in its time, not Enterprise edition. You can install 1607 RS1 and be activated if your machine was digitally licensed before July 29. Is that screenshot for real or fake?
1. Did your system have DE at any point, and if so, for which version of Win10? 2) Did you upgrade from 1511 Ent. to 1607 Ent. or clean install the latter after a format? 3) How was 1511 Ent. activated on your system? I'm guessing using a KMS solution and not a MAK key?
How are you sure it's real then? Pointless debating this without any follow-up info. If it's real the person whose system it is should ask here.
Barring more evidence, I'd say it's likely fake either in screenshot manipulation or registry manipulation before taking screenshot. I'm not aware of any possible scenario where this could work. I'm not saying it's impossible. I'm just saying that unless someone describes how to duplicate it, it's likely a lie.
Yes, it is. I had activated 10240 LTSB Mak key deleted, and it became Digital Entitlement activation before changing a key.