Well, that clarifies your intent but it's a very peculiar usage, and more properly it should have been "claim on", not "claim of". In any case, there was no need or point to the words "the claim of" ... "was being the first to vote yes impactful?" is quite adequate.

> In case you need to brush up on it

I have no such need.

> If it helps you, I meant it in the noun way not the verb way.

It doesn't help at all as it's a noun in both "your claim on first vote privilege" and "your claim that you voted first".

> not one definition on Merriam Webster contains doubt or accusation

You are quite mistaken. Both "to assert in the face of possible contradiction" (verb form) and "an assertion open to challenge" (noun form) very much "contains doubt".

Enough of this off topic discussion of grammar ... I won't respond again.