Bridge-rocks BT series of old were real bad for cupping, I think it is the tread pattern that makes it cup. Pilot Powers or Pirelli Corsas have a better tread pattern and it's not an issue with them.
I use Pirelli Super Corsa SC1 front and SC2 rear tyres, the slicks are the same compound as the road tyres. I now run 26 psi in the front hot, which gives you a large contact patch on the track under brakes and mid corner.
Please be careful if you try this type of low pressure riding. It works for me on the track. I have a picture of me mid corner that shows the rear tyre at work, the contact patch is big. I hadn’t noticed it before then. Under hard breaking the contact patch on the front tyre is bigger than the size of your hand, that sort of contact gives you awesome stopping power under real hard breaking even deep into the corner of the bend you can still carry a heavy front brake.
Do a test if you like, find a straight bit of road make sure no one is around and try slowly applying the front brake to the max to see if you can momentarily lockup the front wheel.
First try high psi say 37 psi hot then try 28 psi and repeat the test.
You will be hard pushed to lock up the front wheel and your braking distance will be much shorter. Less tyre pressure = more grip. (Don’t pull the brakes to fast you will lockup the wheel)!!!! Slowly apply pressure to the max and keep you ass on the back of the seat to keep the rear wheel planted, this slow application allows the bike to transfer all its weight to the front tyre. For faster riding you should always carry some amount of front brake into the corner, this keeps more pressure on the front tyre and gives you grip. If you let go just before you tip into the corner it’s likely to lowside you because it’s unloaded the front tyre.
Just a quick rant!!!!