Then it sounds like you have nothing to worry about. That's not the case for 95% of the landlords I encounter.
I worked subsidized properties for 5 years and private for 12. Of the voucher recipients, 90% of them kept their units immaculate, never paid late, didn't have lease violations, were model tenants by any measure. 5% were about average, not the neatest, were late once in a while, park in other people's spots or left items outside their apartment - minor infractions. 5% consumed majority of management's time.
My experience in private is similar in %s. A property of 20, 1-2 units occupied majority of my time spent managing. Whether they were complainers, chronically late, had little regard for common areas or people's space, required additional assistance, rule violations, neglect maintenance issues etc. I've also had to evict people from private properties especially 2008-2010 when the bubble burst. Main cause has been job or business loss which isn't an issue with 3rd party.
I see almost no difference in quality because I've screened for that 5% that inevitably becomes a problem. I work with landlords that love working with programs and have never had issues. Many voucher recipients may not survive their screening but that's their prerogative and it works for them and us in the long term. I never push a poor tenant on a landlord unless it is a second chance opportunity in which the landlord works with less than stellar tenants.
I've had comparable amounts of tenant issues stemming from both subsidy and private and most of those could've been avoided with screening.