Let's put aside how the question is worded, and think about this as a bug report. Perhaps it would be better to use the alternative phrasing:
The most basic privilege of all -- the ability to ask a question, and the ability to contribute an answer. This is generally available to everyone, regardless of reputation level.
I personally don't think it's wrong to say "right". Virtually all rights are limited in some way. Alice has the right to free speech, but if she uses it to loudly sing Cotton Eye Joe during courtroom proceedings... Likewise, virtually everything at Stack Exchange is limited, e.g., I can't post more than 6 or 7 questions per day per site; I can't post answers with more than 30k characters.
But the OP has a point: it may be better to avoid using the word "right" because it's sometimes interpreted as implying it's "irrevocable". And there does seem to be a genuine mismatch in using "privilege" and "right" (at least near-synonymously) in the same sentence.