Actually, it's elections that are fundamentally undemocratic. Democracy literally means "rule by the public", which elections are not. Elections are merely rule

Actually, it's elections that are fundamentally undemocratic. Democracy literally means "rule by the public", which elections are not. Elections are merely rule by elites which have the nominal consent of the public. In practice, this consent is mostly illusory, as voters have no incentive to spend hours of time and effort becoming well-informed given how dilute their individual votes are. So really, elections are rule by influential groups such as media institutions and organized voting blocs. You cite the UK as an example, but it's even less representative than the US. Parties often win majorities in parliament with only ~35% of the vote. Sortition meanwhile, takes a representative sample of the public and offers them the time and resources to carefully research and deliberate. It's much closer to the democratic ideal of direct rule by the demos.