I don't think the bolded is accurate.
If the call on the field is TD then there is always an automatic booth review to confirm the call. If that review shows that the TD call was incorrect, then the ball is placed at the spot where the runner was down and play continues. There is no second level review in that situation.
If the original call on the field is no TD then, in OT, the booth can call for further review. In a situation (not OT) where the call is no TD, the "further review" would require a coach's challenge. I don't think there are ever two reviews on the same play.
Edit — tl;dr — when it is said the booth “confirmed” a score what that actually means is the replay official has elected not to initiate video replay review
A booth “review” can never overturn a call. Technically, there is actually no such thing as a booth review. In fact, the whole idea of the booth “confirming” a call is actually wrong.
This is a little technical and pedantic, but here is the way that the rules actually work.
All plays on the field stand unless they are overturned by a video reply review.
There is only one type of video reply review. Only the senior VP of Officiating (or his delegate if not available) can reverse a call. He must do so in conjunction with communication with the replay official and the white hat ref. Once review has been initiated, the ref goes over to the monitor and speaks with the head replay official and a decision is made whether or not to overrule the call on the field by the SVP. That is the only way a call can be overturned. The booth has no power to overturn a play called on the field without a full video replay review and decision by the SVP in consultation with the ref. In other words, there is no option for the booth to say “he didn’t score, put the ball on the one yard line” without going to step 2.
There are two ways that a video replay review can be initiated. One is by coaches challenge. The other is by the replay official. The replay official can call for a replay review only in some circumstances. Overtime. Last two minutes of the half if the play started with less than two minutes. Scores called such on the field. Turnovers called such on the field. (There are also now eye in the sky obvious tweaks that are new this year but put that to the side because it confuses the discussion.)
The SVP may actually also call for a video review. Since it is his review if he is the one that calls for it there is a good chance you know what the outcome will be, but the ref maybe could change his mind at least theoretically. I think this only happens in the playoffs.
The replay official must call for replay review before the next snap. On scores the head ref will usually wait to hear from the booth whether or not replay has been requested before allowing the try. But when they say that “all scoring plays are reviewed” or that a score has been “confirmed,” this is not technically accurate. What really has happened is that the replay official has elected not to call for replay review.
This effectively may be the same thing as “confirming” or the practice may be a little different. We would have to be in the head of the replay official to know.
It is sec 15-2.
https://operations.nfl.com/media/5427/2021-nfl-rulebook.pdf
Anyway, when people say “all scoring plays are reviewed,” what they mean is that the replay official may call for a video review on scores and looks at video to decide whether to do so.