Your LED has all of the dies in parallel. It will be a straight LED swap, without worry about LED voltage. The focus of the LED in the reflector will be your only concern. If the light had the LED wired in parallel, you would have two sets of connections to the board. You only have a + and - connection.
Don't know how you came up with that this is a parallel wired board. I'm pretty sure it's 4S.
For example, have a look at series MC-E PCB
There could be two more pads on the sides where the + and - traces are (like in the picture above), but they are missing on this PCB
and individually adressable PCB
which can be connected in parallel by connecting all the pads on one side and all the pads on the other side, or, like most do connect all the pins of the emitter on one side and on the other side.
So, a direct swap would be 12V XM-L EZW.