They can make the claim to know what it is like to be you as much as you can make the claim that you know what it is like to be a bat.
I have greater epistemic authority over what I know than others.
Sigh. Thinking you know and knowing is not the same, especially thinking you "objectively" know something. Maybe you should read the article posted instead of commenting these sorts of sentences.
If this frustrates you, then congratulations; we have a starting point for discussion. Be open to describing where that frustration originates.