Both the UK and the US fail in rule of law regarding "all citizens and leaders must be equal before the law, supported by strong anti-corruption measures."
UK has stated separation of powers but the crown reportedly nudged Starmer to step down. The king is the one that can formally appoint government following elections.
Prince Andrew had and other royals have control over military forces in the UK, canada, australia, nz, ect. You can hem and haw all you want but the crown has constitutional and ceremonial control over the armed forces.
The King gives 'the kings speech' which is used to set the governments legislative agenda to parliment.
The king also gives royal assent to bills passed by parliment.
Black spider memos
The king also steers diplomatic efforts abroad.
every single aspect of UKs democracy can be cut by the King whenever he wants.