I'm assuming you used Disk Utility externally to try and accomplish what you are after. What I suspect would help is if you use Disk Utility to Erase, Format, and if necessary, Partition the drive to be re-imaged at the Volume (ie, top) level. When you do that, you are offered the opportunity to name the volume what you want. And of course, if you partition it, you can name each partition how you want. Once you are done with that, you should be able to do a clean, "virgin" installation of El Capitan (latest version of 10.11.6) either on the Volume (if you only have one partition), or on the partition you choose.
By the way, how are you "physically" trying to do this? The ideal way would be for each iMac to be connected to the "controlling" machine, and the iMac is booted in Target Disk Mode.
I have actually done something similar whenever a new Mac OS comes out. What I do first is to make a SuperDuper! bootable backup of my system to an external drive. Next, I boot from that backup. Then, I use Disk Utility there to Erase and Format the internal drive (SSD in my case) on the machine. I can then install the new OS, and then use Migration Assistant to "migrate/copy" all the needed "stuff" from that SuperDuper! backup (of course, I insure that the 5 critical applications I use are compatible with the new OS before doing all this). Finally, I just re-boot my machine.
While your situation is not the same, it is similar, in that the iMac needs to be booted in Target Disk Mode.