That's why it's valuable to call it Authoritarianism. It isn't about how money is spent or the social policies put in place - it's how the state responds to disagreement.
Democracies will have a path for public feedback to influence a review of the implementation of the policy. Tyrants impose a set of rules via force and tolerate no feedback.
True, it's not a prerequisite. But sadly, in reality, the left tends towards authoritarianism just as readily as the right. Because once you have consolidation of power and resources, whether in private or in government hands, you get corruption.
Exactly. I've seen it with faaaaaar too many tankies and even populist leftists. Instead of advocating for empirically-driven policy that would measurably improve the world, there's a ton of rhetoric about how we just need to punish capitalists/fascists/landlords/neolibs/billionaires/etc. harder to fix the world's problems.
At this point, I think it's just a deep-rooted flaw of the human psyche that we're just inclined towards trying to force our solutions through by punishing those who oppose us, rather than trying to deeply understand the dynamics at play and changing the underlying structure to incentivize the outcomes we want.
And if we fail to address the tendency towards knee-jerk, brute-force, authoritarian "solutions" to problems within our own ranks, we'll meet the same fate as every other revolution-turned-brutal-dictatorship.
Order in the sense of self-preservation (on the part of the state). The ideological state apparatus reproduces its power through institutions like schools and police, which enforce a degree of compliance in the population that prevents the state's authority from being too severely circumvented.
The consequences of noncompliance are varied and range from social status to economic pressure to life expectancy, but the highest degree of power that the state wields is the ability to punish or eliminate those determined to be a threat through a monopoly of violence.