Is 'make flasher' utility cross version?

This is one for Robert:

Your images have a script that forks based on the device being a Black, Green etc.

Now I have a Black set up the way I want and I run
beaglebone-black-make-microSD-flasher-from-eMMC
to put my customized image onto an SD.

Q. Does the newly created SD card have the same multi-install capability or did I just make a Black-only flasher and need to burn to another SD card from a Green to have a Green flasher?

Thanks

Bill