Section 8 landlords: collect gov't paid rent, let tenant slide?

[Paul Winka]

I have a remote property handled by a property manager, rented by Section 8 tenant. Rent is $973, and section 8 pays $936 of that, the tenant paying $37. 

Assuming they are otherwise a decent tenant and not tearing up the place and are staying long-term, and considering re-renting costs, vacancies, unknown nature of the next section 8 tenant, etc, do many of you hands-on Section 8 landlords with tenants having rent 95% paid just opt to do nothing and let it ride?