I'm not an expert electrician, but looking at the pin-outs and making some estimates, I'd say it won't matter.
The 4-pin 12V connector has 2 12V wires and 2 grounds (one for each 12V wire).
The 8-pin has 4 of each.
Assuming the usual gauge wiring is used, I reckon about 7A per 12V wire is a decent safe limit. More would probably be OK, but better safe than sorry.
So...to be sure, you need to find the total safe limit for current at 12V to your motherboard, on all power connectors, and compare it with the maximum draw.
24-pin ATX/EPS connector has 2 wires for 12V, so that's another 14A or thereabouts.
So...28A@12V with a 4-pin or 42A@12V with an 8-pin. That's just for stuff powered through the motherboard, so you can ignore drives.
28A@12V is 336W. 42A@12V is 504W.
I doubt if the kit powered through the motherboard ever requires more than 336W over the 12V wires, so I doubt if the 8-pin connector is beneficial. It's from the server spec - if you had a couple of power-hungry CPUs, a stack of cooling fans, 16GB of memory, i.e. what you might well have in a server, then it might be necessary.
Usual caveats - I am not claiming to be an expert and I have not tested power requirements on your hardware.