32 bit applications will not run period, end of discussion! (The High Sierra installer may remove some of them along with other extensions, plug-ins, etc. to an appropriately named folder on the desktop)
Can you document that?
The latest I've been able to find from Apple is
App Store
64-bit Requirement for Mac Apps
June 28, 2017
At WWDC 2017, we announced new apps submitted to the Mac App Store must support 64-bit starting January 2018, and Mac app updates and existing apps must support 64-bit starting June 2018. If you distribute your apps outside the Mac App Store, we highly recommend distributing 64-bit binaries to make sure your users can continue to run your apps on future versions of macOS. macOS High Sierra will be the last macOS release to support 32-bit apps without compromise. (Emphasis added)