I was browsing Internet for some hints, but did not find anything yet. And the communication is a bit missleading, one say it won't work, becuase of 32-bit references, another claim it should work, because CS6 Illustrator itself is 64-bit.
Ended up after install with:
and after clicking the icon:
“Adobe Illustrator CS6” needs to be updated.
according to https://en.wikipedia.org/wiki/Adobe_Illustrator
Adobe Mercury Performance System, 64-bit memory support, new user interface, gradient on a stroke, pattern creator tool, ImageTrace (replaces Live Trace)
From the OSX system information:
Adobe Illustrator CS6:
Version: 682
Obtained from: Identified Developer
Last Modified: 19/08/2019, 14:06
Signed by: Developer ID Application: Adobe Systems, Inc., Developer ID Certification Authority, Apple Root CA
Location: /Applications/Adobe Illustrator CS6/Adobe Illustrator.app
Kind: 64-bit
Get Info String: 16.0.0, Copyright © 1987-2012 Adobe Systems Inc. All rights reserved.
so it is 64bit