A large chunk of opinions that appear to be logic-resistant are in fact the camouflage to real opinions that aren't stated. Logic relevant to the stated opinion will not be relevant to the real opinion - at best, it causes the camouflage to shift.
E.g. Zootopia. (Via.) Proggies genuinely believe that the facts about IQ will cause riots. Proggies genuinely believe that if one race is materially differs from another, it is sociologically inevitable for the higher status race to enslave the lower.
When an proggie denies the laws of biomechanics, they are actually trying to deny riots and apartheid. No amount of arguments about Nobel prizes by skin colour or Raven's matrices is going to change their mind, because they don't address the proggie's actual issue. They may themselves be unaware of their real issue, and thus unable to articulate it. It will show up to them as an intuitive sense of 'no, that's wrong,' as indeed it is, and will appear externally as the leopard spots smearing themselves around.
I find the idea of the riots historically absurd. The slavery less so, but I note that the majority certainly would vote against it, and in such a climate it shouldn't be hard to find some kind of alternative.
When they're not straight-up lying, that is. Naturally it is impossible to convince a liar of the truth, as they already believe it. These may be the self-serving kind or the noble lie kind. The noble lie kind is aware of how stupid they sound if they say, "Our society can't withstand this
science," and try to come up with something respectable to say instead.
(Unfortunately for them, they make movies and tell us anyway.)
Naturally, this flaw is hardly limited to progressives, any more than it's impossible for Asiatics to commit crime. It's simply more common in proggies because they have more beliefs they can't cop to.