Providing a "new user" perspective here.
I have had kind of the opposite feeling. There is this "New contributor" sign that still appears next to every one of my posts, even though theoretically I am already "trusted" enough to cast close votes. That feels kind of contradictory...
In line with "assume good faith", I would say that reviewing first posts should be enough. If a new user makes more than one low-quality/off-topic post, there are other ways in which moderators/trusted users will become aware of those posts (flags, close votes...). Moderating according to the content of the posts instead of the person who posted them seems more adequate to me. It is also more welcoming to new users (one feels less welcome if they know that they are in "review status" for a long time).
In any case, I guess this would be a question for the main Meta?