There is no magical essence to markets that justifies any agreed pricing point as the best price that ever could be. Especially under information asymmetry markets don't operate well i.e. they don't set prices as efficiently.
> It does not matter. If you are not satisfied with the offer - ask for more or walk away.
Sounds like it does matter in your argument because here you are constructing a satisfaction criteria that hinges on not knowing the other offers.
If knowing other offers changes your satisfaction level, was it really an objectively satisfying offer in the first place?
> Yeah, I gave an example in the post you replied to: the unskilled labor market
I was thinking more of labor markets in some European countries, which are not at all exclusive to unskilled positions, e.g even includes managerial positions. I think there might be some sort of confirmation bias here preventing the acceptance of the possibility that some labor markets do have transparent compensation for even highly skilled positions and they work OK.