Thank you guys!
Couldn't wait and risked my chance before reading your reply
I read the original CF-Root post from ChainFire repeatedly a couple of times, and followed this "update kernel" procedure using CMW (copying the zImage to the phone from computer though), and am now happy with consistent kernel/firmware numbers and maybe better performance of the phone that I haven't seen yet
3.1. Flashing a new kernel
This is easy. CWM Manager can flash zImage files (on any rooted kernel), zImage files inside a .tar file (only on a CF-Root kernel), and zImage files inside a .tar.zip (only on a CF-Root kernel). Note that zImage must be the ONLY file in an archive, if is is inside a tar or zipped tar.
- Put the zImage (or tar, or zip) file on your SD card
- Open the CWM Manager app
- Select "Flash kernel"
- Select the file you just put on your device
- CWM Manager will flash the kernel and reboot
If you flash a non-CF-Root kernel, you will lose a lot of functionality from CWM Manager. However, the app will (likely) still allow you to flash kernels.
Still, what doctor said was really helpful: no harm to use a "sibling kernel"