What year are you talking about ?? , the wiring is different for a 09 compared to a 2020 , as is the layout of the radiators , for example , on my 06 450X ( yea I know not a R , but) the fan mounts to the right radiator , on the newer gen , it only has room on the lower left radiator , all this makes a difference as far as fan size , amp draw , etc. , which makes a difference where you can hook it up
This is the Trail Tech kit for a 17-20 450R/RX
As far as using the fan without a battery , I do not see that happening , the draw would be too much for just the charging system to carry ... that is why it is only used on battery powered bikes , unless you get the headlight kits with the R/C type battery , but it won't last as long , and I do not know what would happen hooking it up to a fan , as opposed to a headlight , as far as how the power is delivered
But there are kits available for whatever gen bike you have ....