Neil. I agree.
I mentioned "niceness" because my leasing agent said one particular applicant is a "very nice lady and would make me a good tenant." I, like you, do not put much weight on "niceness"--I've made that mistake before, also under pressure from a leasing agent. As far as I'm concerned, agents' opinions don't carry any weight. It's not their property, their business, or their money. Hope that clarifies.
So what is your answer to the question? Do the "facts" of someone's credit history influence your decision to rent to them?
Thanks, Paula