Yes, cupping is caused by defective shocks/struts.
Cupping of tires indicates many of things depending upon where the cupping is. Center tread cupping is a sign of under inflation or bad shock absorbers while cupping on the edges can indicate bad wheel bearings, bad ball joints or bad steering.
Yes, it can but cupping can also have other causes. Over inflated tires can tend to bouce more, especially when combined with weak/worn shocks or struts. When tires bounce cupping can occur when the tires strike the road. Cupping can also be caused by the tire/wheel assembly being out of balance (which can also cause the tires to bounce). Cupping is just one of several types unusual wear on tires.
Assuming you mean wear of the edges of the tires, and not the middle, this is an issue of UNDER inflation of the tires.
make sure that the tires are all properly inflated. If they are, then you may need to have the front end aligned.
Check the tires for cupping. If you have had an alignment problem the tires could be cupping and will make quite a lot of noise. It could also be a wheel bearing.
They both have the same job, the only thing difference is their application. The "shock" dampens continued vibrations from the springs while the "stabilizer" dampens the "shimmy" that the front tires cause.
Bad shocks and struts are a common failure that can cause diagonal wipe on tires, the shocks and struts may not be leaking and still cause this condition. Shock and strut replacement is recommended at 50000 mi.
You may need a new steering shock, rotate tires or need new tires. A new steering dampner shock, or front break rotars.
It will be easier if you pull off the front tires then you have the shock bolts at your reach. It took me 30 min for both front shocks.
check wheel bearings. check tires for cupping or feathering.
Bad shocks, ball joints bad, tires out of balance. More then likely shocks.
Unless the tires are directional (indicated by an arrow on the sidewall), radial tires can be cross rotated. On FWD vehicles the front tires are moved straight back and the rear tires are crossed to the front. On RWD vehicles the rear tires are moved straight to the front and the front tires are crossed to the rear.