No. The cam won't get better but the thicker oil might make it last longer before it needs replacing. But once the surface is worn it will only get worse and faster.
Is your car a DSG? You risk it damaging the transmission if it splits. Worst case scenario, you're stranded. But you could still put in a used transmission. Regional labor prices vary but the camshaft should be a $1000 repair plus the timing belt, maybe another $1000. That includes parts and labor. The transmission pull should be around $2000 parts and labor plus tax so $4000 for everything sounds pretty reasonable. Someone was selling a new DMF in the classifieds that they weren't using for really cheap. You can put off the DMF later but the timing belt and cam should be done now.
Is your car a DSG? You risk it damaging the transmission if it splits. Worst case scenario, you're stranded. But you could still put in a used transmission. Regional labor prices vary but the camshaft should be a $1000 repair plus the timing belt, maybe another $1000. That includes parts and labor. The transmission pull should be around $2000 parts and labor plus tax so $4000 for everything sounds pretty reasonable. Someone was selling a new DMF in the classifieds that they weren't using for really cheap. You can put off the DMF later but the timing belt and cam should be done now.