Never touched the base (two pitches)

[CZ]

OK, so we are back to the original discussion. He hasn't left the immeadiate area of the base. He didn't touch second but he is right by it taking a short lead, so he has not missed the bag by either 7.10(b) or 7.10(d).

Therefore, there is no appeal. They have to tag him out.

But they don't. Instead, they throw another pitch. He still hasn't acquired second, right? Because all that throwing another pitch does is erase the right to appeal, which wasn't there in the first place. So if he hasn't touched the bag thus getting the base by 7.01 and there is no grounds for appeal, the bag is not just given to him without a rule is it? Under what rule would he have now acquired second base? I don't see one.

Assuming that he has not acquired second base then, on this new pitch, when he advances to third, it may now be appealed that he has missed second by 7.10(b).

Please someone, how is this wrong?