Maybe if you have a vesting period of something. But even then it is one employee, one vote or is voting dependent on something else like number of shares?
In the Netherlands a coop is an acutal legal structure that businesses may adopt. It will surprise you to hear that we even a big bank which is: A co-op.
The core characteristic of a co-op isn't that the workers all have shares. It's that they have members and that the members instead of the shareholders may receive payouts based on the company income.
I realize this is different than the American case of a worker co-op. Your reaction though speaks to me that you don't consider this a serious form a company might take. Whereby you ignore that some very big and wealthy companies are in fact co-ops. I assert that this is merely because the US legal systems don't facilitate co-ops, and I wonder whether that isn't a missed opportunity?
There are lots of those types of co-op banks in the US, as well as other large businesses run as the type of co-op you're talking about. That is however a competently different thing than what is being discussed here.