Review queue privileges are unlocked after crossing certain threshold of score. However, I have observed that certain review queues become unavailable once I hit the daily voting limit.
As I understand, no up/down voting is involved when working through various review queues. Why does certain review queues (like First Post, Late Answers) become unavailable till the next day after I have exhausted my daily voting limit?
This post from StackExchange Meta satisfactorily answers the question:
Why review system disable the “First Posts” and “Late Answers” if I reached daily upvote limit?
I think it is because the First Posts and Late Answers Review tasks not only allow you to make necessary edits as you see fit, but also upvote and downvote questions or answers which you wouldn't be able to do if you have reached your vote limit. You would not be able to effectively review those queues as a result.
Low Quality Posts, Suggested Edits and Close Votes on the other hand, do not require or allow upvoting or downvoting on posts, thus it is still available on your Review tasks.
