Sounds like crap tyres.
I'm running a GTS-t R33 with GTS4 springs in it.
So stiffer springs in the front, which will create more understeer then stock springs.
And it only MILDLY understeers.
To me, it also sounds like poor driving (I'm not having a go, I used to do it too)
It sounds like your starting to feather the throttle way to early (I internally yell at myself everytime I take a corner so that I don't do it)
As you start to feather that throttle, you're lifting weight off the front tyres. Which is reducing traction.
Keep off the throttle till you're through the corner further, wait until you can SEE where you want to go, and then start to wind the throttle open. And no, more throttle does NOT equal oversteer.
Go do a skid pan day. It lowers the grip limits immensely (On concrete) and it shows you exactly how the car handles under breaking and stepping on the throttle and different amounts of steering (No, more steering won't make you turn in further all the time!)
But a start: Get some grippy tyres.