S3/A3 part swap?

Cheeks

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Getting speed wobble intermittently (weird) pulling to the left a lot. (Not calipers)

starting to rule out different parts, new control arm bushes soon, new front tyres, balanced twice, same thing :(

Wanting to know if S3 front shocks will fit the a3?
I thought if I'm changing them might as well "upgrade" them, I'm assuming they're a bit sportier?