AFAIK, this notice does only affect Terracotta Platform, as there's no Berkeley DB dependency or Berkeley licensed files in Quartz Scheduler.
I found that the mentioned file was removed recently from the SVN, adn replaced by a PDF file that fits much better the actual Quartz 3PP licenses:
Date: Tuesday, January 19, 2016 7:01:46 PM
Update to license files prior to 2.2.3 release
Added : /trunk/distribution/src/main/assembly/root/licenses/3rd_Party_Licenses_TAQ_2.2.3.pdf
Added : /trunk/distribution/src/main/assembly/root/licenses/Legal Notice.txt
Deleted : /trunk/distribution/src/main/assembly/root/licenses/THIRD-PARTY-LICENSES.txt
On the other hand, when using either Maven (quartz-2.2.x.jar) or the full distribution downloads (quartz-2.2.x-distribution.tar.gz), the downloaded JAR does not contain the THIRD-PARTY-LICENSES.txt file, nor reference Berkeley DB or Berkeley license.
Can someone from Terracotta confirm this, please?