And if you do have permissionless, decentralized block chain design, then you don't absolutely need anonymity to have fungibility.
Disagree. Without obscuring the chain you will have constant battles over fungibility even with censorship resistance. Your use of the term, and understanding of the monetary concept behind it, is incorrect. There is essentially no censorship in Bitcoin today (ignoring Luke-Jr), nor any real sign of it any time soon, but there are already fungibility issues and they are getting worse not better.
Ideally you'd have both
Of course. Better, you must have both.
You made a wrong turn on this when you decided to drop anonymity to launch a coin in your name. See I am helping you now. Just a couple of programmers talking about silly ideas on a forum.