I do know for a fact the 7g2cs battery tube does fit on the 7g5cs and the zy-t13. I will search the forum for my thread on it and see if it mentions if the head will fit on the 7g2cs light module (or whatever you wanna call it)
I dont have any of these lights anymore so I cant just try it out...
Edit: I just found the thread and read through it... No mention if the head fits on the light module, just that the battery tube fits
https://budgetlightforum.com/t/-/14889
PS: I got over 200kcd out of my zy-t13, collimator head and a dedomed XRE. Did not mess with the driver at all. A newer gen led and tweaks to the driver will get you much more