If you don't know who owns the company you don't even know who you work for. It might not matter to most people as long as the cheques don't bounce, but if you want to even hallucinate having a meaningful role in the direction of the company it starts to matter. I really don't know what people are willing to disclose to employees but the SEC rule for public companies is a 5% stake or more is disclosed.
This is not true. It matters who your company directors are. It does not matter how much of a stake some random angel investor ended up with, or how much the VP of Product Marketing got. I have founded a company where I didn't know what the cap table was (obviously, I could have) and I assure you I had all the influence I wanted on it's direction.
The cap table is, to this whole conversation, a MacGuffin.