Finally, a solution to this stupid problem (crash during ADPREP).
I had a RODC (read-only domain controller) in a sub-OU under Domain Controllers. Moved it to the root Domain Controllers folder, ran the upgrade again, and it is finally successful (well, another crash regarding C:\Program Files\Microsoft\Exchange Server\V15\ClientAccess\SharedWebConfig.config not existing, fixed https://social.technet.microsoft.com/Forums/en-US/a1c5c0f6-73db-4845-98b8-7a3c3031d3ed/exchange-2013-cu15-cas-upgrade-fails?forum=exchangesvrdeploy then ran it again and it worked).
Now I will move the RODC back to where it was, because of group policies that apply to that OU which are different than the root DC folder.
Thanks, dvolkov83 and others!