Does it matter if I lay my F2 bottles on their side or do they have to be upright to get carbonated?

I am in the middle of my F2, some are natural flavor and some are flavored with fruit or herbs, I decided to lay them all down because I read somewhere that it helps with potential carbonation leaks, and I can tell you that none of them carbonated. They were more fizzy after the initial F1 than they are now after F2.

Though, to be fair, I left them for just 2-3 days for F2, and while it has been HOT here, my F1 is at 83 degrees constantly, maybe I should have left them longer, so I am standing them up now and going to give them a few more days.

That's my experience with laying them down, it would be interesting to know how this goes for others, maybe it just takes longer when they are laid down vs stood up?

I recently read that it doesn't even matter if you flip the bottles upside down and the air pocket at the bottom of the bottles instead of the top. At least for carbonation leaking, since CO2 apparently is smaller than water particles, it can still leak even if flipped upside down. So, since that can happen, I feel like it might not make much difference if the bottles are upside down, right side up, on their sides, or slanted.

Disclaimer:
It was a quick read and this very well might not be the right answer to this question!