Like, there's a king on the top, he has his board of nobility, VP dukes, knight middle managers and the peasants who do all the work and own nothing. Whatever the king and nobility say is law, they're accountable to nobody (except for the pope/national government).
They are democratic, but usually of the weighted variety. Typically, he who owns more shares has greater say – although occasionally you will see other weighting methods. Government is more likely to consider each individual an equal shareholder, although not always.
Corporations likely also benefit here from the owners generally having more care for the organization and a greater desire to see it succeed. If there is something that needs to change they will work to ensure that it gets changed as soon as a problem is identified. Most government shareholders would rather sit back and just hope that things work out.
Plus there is upwards mobility, whereas in typical feudalism there is none, but it is still funny to think about the suspiciously odd similarities.
It is certainly not suspicious. It's all just people being people. It's questionable if it is even similar and not the exact same thing. Government isn't something magical. It's just a particular kind of business.