Tenant Screening Question - Former Landlord Did Not Keep A Ledger

[Lucas Hunt]

Hello BP Community - seeking some advice as I am screening tenants for a property of mine in Dallas. On paper, they look like they would be a great fit (credit score is above 600, paystubs verify 3x rent, bank statements check out, their employers/supervisors verify good standing etc). I called the current landlord and my only hiccup is that the current landlord does not keep a ledger. The current landlord said "We do not keep a ledger, but they paid us on time and the same day every month."

Not sure if this is a red flag. I am probably being overcautious after having to evict a tenant this summer.

I have the sense that their current landlord operates as an independent. Could their "word" be just as good as an official copy of a ledger?