By all means deploy to staging on Friday and have some automated and load testing running on weekends if that's what you want to do. But there's really no reason that promotion to prod should happen in a Friday or just before any significant time off.
It really doesn't have much of a justification. You want to "feel good" about your work week and ship on a Friday? Ok great. How is that benefiting your customers? It's not urgent, it can wait until Monday or what have you.