Dear jerrykrinock, it was just a fluke.
Normally, when Apple releases an update of the same (MacOSX.platform, iPhoneOS.platform, ...) platform SDK, I scruple, comparing the same (MacOSX.platform, iPhoneOS.platform, ...) platform SDK with different build using FileMerge.
This is to avoid storing identical SDK, and to see what has changed.
In this way, after comparing, and having noticed that the symbolic links (created in Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/ via ln -s) to my archived SDKs were no longer loaded in Xcode 7.3, I tried changing the value of MinimumSDKVersion key (in Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Info.plist). Almost no surprise, everything was back to normal. Of course, we must realize that sooner or later this workaround will no longer work with future versions of Xcode.
In other words, we should always work with the latest SDK. The future, not the past.
agx