Just to clarify, the algorithm never indexes your game. As far as we understand, by default your game should be indexed, but the algorithm determines (for some reason) that your project needs to be reviewed manually, so it deindexes the project until a staff member reviews it and reindexes it manually.
But Is it really doesn't matter if I wait or not? Especially for a first time seller?
I couldn't tell you.
What you're saying makes sense. If you wait for your game to be indexed and then update it, the algorithm might determine that your update doesn't require a review.
The problem is, there's no guarantee the algorithm won't flag you again when you update.
On the other hand, if you update before the manual review, the game might fall back in the review queue, but we also can't be sure how much additional time that might cost.
That's the dilemma.
Unfortunately, the only person who could answer that question with certainty is the admin.