Does the applicants payslip count as proof of address

I am currently gathering evidence for my partners spouse visa,

We are going for unmarried partner living together for 2 years, as they are here currently on a Tier 4 student and we have lived together for 3 years.

I was wondering if a payslip from their job counts as evidence of living at the address for their 6 pieces of proof? We have council tax, some letters from the dvla and other gov departments, but this would help fill in a small gap in the months to have it span the 2 years