Corruption makes things less democratic in a pure democracy by granting more soft power to some individuals' 1/N office ( N= population size).

Now if you are in a high trust society, you may have a lot of leveraged businesses or governments who have gotten loans or permission to do something based on past trust history. If the trust degrades systematically Investors may want returns faster, or interest rates go up, or partnerships don’t happen. That’s why low trust places don’t grow as fast - trust is the oil for growth engines and lack of it is sand for the same.

Corruption also does a lot of small-profit-for-the-corrupt that leads to massive damage to the overall society via second and third order effects. (example: someone stealing copper cables that stop electricity to entire cities for a while).

However, it's not that simple there's a different kind of trust that comes with these types of social structures and they usually trust that as long as they keep their head down nothing will change. You can obviously draw parallels with conservatives here, but in reality people more often than not just want to live their life.

Democracies tend to be a lot more active politically and promote transparency so there is trust that your government is being transparent and that your vote matters. Of course if you find out that your political activism and votes don't accomplish anything due to corruption you check out and start disliking your government. Autocracies don't have political movements to begin with (exceptions apply) so it is way less impactful. There's way more comparisons to be made, but in general they roughly boil down to the same thing.