The float part number is the digital version that is used on the 650cc but the extra wire is overkill , likely for (warning) , these are very rare , as Hyosung is using 2 pins since 2004, their newest GV125-S EFi model 125cc is 2 pins and is using a float arm. (much better) than the rare stick version you see in pics.
You should be able to find a gasket for the fuel sender on ebay incase you go back to the 2 pin version, I suspect the last owners got desparate and used the old old 650 3pin version.
All EFi 250/650 use the float arm that moves up & down with 2 pins. For some people, they use the ODO Trip Meter to count the miles before filling up again if the fuel gauge isn’t working. Hell some older suzuki bikes did not have a fuel gauge. So it was a luxury thing for Hyosung since their GA Cruise 2 125cc days & made sure other future models always have it. Bikes without it i know and owned in the flesh was the supermotos/enduros (RT125/RX125)
I suppose with your 3pin version being rare as it is, you wont worry about a float breaking off , as its all digitized (and yes some GT650 still used analogue style clocks before the LCD era after 2005+) , you just have to figure out wiring on retrofitting some gauge you have either a suzuki one or aftermarket gauge, and expect to read OHMS for each wire and study yourself how much fuel is in tank and what ohms it is, and see if that registers on the whichever dash you’re using. I have not seen these fuel gauge values in the manuals yet. Aftermarket Senders ? = Custom work for yourself , I don’t really use them as my bikes still use their OEM clocks , i prefer the OEM senders, (despite them being optimistic at times) , i do a lot of motorway distance trips. Not every stop has E5 , so will need to travel further to fill up sometimes.