Agreed.
Nickels are a wee bit softer than Stainless, where Stainless are harder, and more abrasive because of it. You won't get a skin reaction with Stainless, but they are a bit harder on the fingers (and frets).
I used to get a skin reaction from Nickels (dead skin on my fingertips), but since moving to Stainless, I've not had that. It did take a while to build up my fingertips, and it did hurt after playing, but it's a muscle / callous thing rather than a skin reaction.
The solution? Play more bass!