Thank you very much all, for your inputs !
I've did
root: file /boot/broadcom/initrd.gz
initrd.gz: Zstandard compressed data ....
root: unmkinitramfs /boot/broadcom/initrd.gz Extracted/
# data where extracted to Extracted/
# but I go few error like:
# cpio: cannot link usr/sbin/vconfig to usr/sbin/watchdog: Operation not permitted
tree -Fan -L 2 Extracted
Extracted//
|-- conf/
| |-- arch.conf*
| |-- conf.d/
| `-- initramfs.conf*
|-- etc/
| |-- fstab*
| |-- ld.so.cache*
| |-- ld.so.conf*
| |-- ld.so.conf.d/
| |-- modprobe.d/
| `-- udev/
|-- init*
|-- run/
|-- scripts/
| |-- functions*
| |-- init-bottom/
| |-- init-top/
| |-- local*
| |-- local-bottom/
| |-- local-premount/
| `-- nfs*
`-- usr/
|-- bin/
|-- lib/
`-- sbin/
So it tend to confirm that even if the file is named initrd.gz it's actually an initramfs
method.... ( damn this is so misleading )
So I guess I can follow preparing-linux from the guide and overwrite the initrd.gz ?