…I think it kinda goes without saying that , perhaps with a very few notable exceptions, satirical television shows are not necessarily renown for their historical, scientific, or anecdotal accuracy.
That being said, in my own experience at least, such pseudo-historical references in comedy in particular have spurred me on to independent investigation as to what they were on about, exactly.
I’d say that the slapdash integrity is a feature, rather than a bug, since it is implicit in the format that a certain fraction of the assertions made will be bullocks cheese. This spurs curiosity and is also an excellent comedic mechanism.
It would be interesting, however, to have a backdrop of steadfast historical “accuracy “ in an otherwise pseudo-slapstick context a-la Monty pythons flying circus. That was kinda part of the gig, but it might be even funnier if they obviously took that aspect with unflinching seriousness.
As for the Roman Empire, I’d dare say that in slavery they were contemporary with most societies of their day, and I think to imply that their use of slavery somehow diminishes their contribution to global cultural heritage is not only disingenuous, but also smacks of some kind of pointless reflexive regurgitation of a partisan talking point or conformance/virtue signaling. It kinda undermines your point.
Ultimately, there are probably very few, if any, living humans that cannot trace their cultural heritage to slavery, slave ownership, perpetrators horrific atrocities, genocide, human rights violations, war crimes, and violent crimes against women, children, and humanity in general. What matters is what -you- chose to do. Be known for the fruit of your tree, and not as the product of the hill from which you sprout.