Many countries include 'Democratic' or 'People's' in their names, even though they are not democratic and do not serve their people. Examples:
Democratic People's Republic of Korea
Lao People's Democratic Republic
People's Democratic Republic of Algeria
Democratic Republic of the Congo
And German Democratic Republic (East Side) in 1949–1990.
None of these states are democratic, power and wealth are concentrated in the hands of a small ruling elite. Who are they fooling with these names?
The larger problem of projecting is universal, and worse if the west if anything. No child left behind is to leave children behind, big beautiful bill is ugly, take any republican bill, it's all opposite, which is not substantially different from these other countries having an ironic name.
It's not communist or capitalist, it's authoritarian.