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Nice post. Without going into too much detail on each of your questions:

How do individuals within the crypto community perceive the importance of decentralization ?

I think that decentralization is absolutely a core principle of bitcoin if not the most important principle. Money under the control of central groups / authority has always shown to be corrupted.

Does a higher decentralization index positively influence trust ?

If you mean that as a network becomes more decentralized people trust it more, In general I'd agree.

What are your thoughts on the role of decentralization ?

Decentralization is the key to censorship resistance.

And lastly, is there any website where I can see the chart ?

I wish.

My question:

Do some protocols work better with less decentralization / (more centralization)? If so what types of protocols would require less or more?