I'll counter that. The argument that complexity somehow itself justifies anything is a retreat to the folly of philosopher kings that Plato wrote an entire work against (you all have heard of "The Republic" - which careful, thorough readers of political science understand is a rejection of such simplicity. Indeed all philosopher kings, like Hitler, Mao, Stalin etc... fail horribly and cause misery and death)
Furthermore, incumbent conditions foster complexity. Complexity is a symptom of political failure as much as a cause.
> professional politicians
We are surely seeing that these two words do not belong together in 21st century society. Most of our "politicians" are the antithesis of "professional", being vain, shallow, corrupt and immoral.
It is surely clear that any randomly selected mature person could fare better, with minimal training/induction.
With communication technology and "AI" as their new weapons, the present cadre of egotist politicians are an ever more dangerous breed. As the OP rightly says, that's because of a corrupt and captured mainstream and social media landscape that they learn to play rather than engage in listening, thinking and policy making.
We will have no fair politics or justice until the "lies machine" is utterly destroyed along with those that ride on it. It's not that we haven't had lies-machines all along, but part of ur political/civic duty is to tear it down and counter it - something we have failed to do in the Internet age.
Real experts, who are quiet civil servants and scientists are being attacked and displaced precisely because they are ones able to manage complexity and to communicate rationally. Almost all of these people, who form the real government, are driven by duty, or pursuit of truth, not base ambition.
(some light edits)