Silly math of the day: A modern SSD gets around 0.4 picograms heavier for every terabyte of data you store in it. Zeros are heavier and an empty SSD is all ones.
(This is back of the napkin math, I might easily be off by a factor of 10.)
It doesn't matter what data you store though, I'm pretty sure every reasonable modern SSD encrypts/whitens the data so it ends up random in the end. Just whether it's full or empty.
Edit: 0.05 pg per terabit, not terabyte. It's 0.4 per terabyte 🤦♀️