For the most part I like anonymity.
Your post specifically mentioned large stake holders; So, I assume a situation in which a large stake holder has several anonymous accounts. The danger of this structure is that the large stakeholder can use a legion of fake accounts to send false signals on the blockchain.
This stuff happens in the stock market. A corporate raider interested in taking over a company will start buying in small anonymous accounts to mask the upcoming raid.
So, I guess my answer is that like anonymity when it protects small players, but fear it when power players create anonymous accounts to send false signals.
The second category, of course, is really an act of fraud.
You're correct, I hope anonymity serves as a privacy for the users when no other way is possible.