I've shot with Nikon D40, Canon 5dM2, and 5DMIV. I would say resolution, but not noise improved from the D40 -> 5DM2. And from the 5DM2 -> 5DM4, high ISO color improved about a stop. Clarifying this comparison: Nikon's later cameras like your D7100 are going to be closer in performance to my full frame Canon's and the benefit of the D750 to the D7100 might be visible, though:
I would say practical color depth is improved more by optimized exposure than absolute sensor size.
So,
Is the APSC/Full Frame going to merit the cost to upgrade? No.
Will upgrading feel like the right thing to do, given your question? Yes.
My suggestion is wait a few more years, and see if you've "graduated" past your D7100 then, instead of trying to future proof now against technology that endlessly improves. The added benefit will be that the Nikon D910 will be out by then.