keymaps are translators.. translating from keys into strings... and then strings back into keys. without a keymap loaded on a clone, it cannot translate an incoming string.

therefore, you will need to load the keymap onto every clone you wish to receive the strings.

ie:
on the active clone.. as you hit a key:

key --> keymap(key) --> string .... transmits to other clones


then, on every clone:

receive string --> keymap(string) --> key

if no keymap... then no key