* Purchasing X through a third party allows us to circumvent laws and regulations meant to protect workers and/or consumers
You can argue that such agencies are more likely to disregard laws and regulations, but how would you fix that? With laws and regulations?
I can think of a couple different legal metaphors for this:
1. Something similar to banking's Know-Your-Customer could work... maybe call it Know-Your-Suppliers.
2. People are criminally liable for possessing child pornography even if they had no participation in the direct crimes of its creation. In other words: in this case there is no immunity just because the crimes happened somewhere "upstream".
For instance, how likely are your Fly-by-night employee or sub-sub-contractor to rat out the Fly-by-night? They may get a beating, their checks withheld, the Fly-by-night go under.
If it still happens, Big Publicly Listed company pays for it to go away in a settlement.
If it goes to court, they Big Company can say "we work very diligently to avoid this situation in the future and what happened is in no way indicative of our values".
Etc.
* X is available more cheaply from a third party supplier (who presumably has achieved some kinds of economies of scale) than our fully-loaded cost to deliver the same
* X is a commodity product where we do not feel we can differentiate ourselves by doing it in-house
* X is ancillary, but important, to our core business and we lack the expertise to do it well, so we will buy in rather than build that expertise
Not many hotels are bothering to drill their own wells these days, bearing in mind that water is available from utility suppliers - why would room cleaning service be immune from the same forces?