If it’s a real location with a real Apple Store, why can’t you name it?
By your own indirect admission you cannot change anything so why bother? I don't really care if you personally believe me or not. Sorry.
An honest person would have no reason to hide the location. I think it’s fairly clear that you’ve been caught in a lie.
Your offer is that I should disclose information about my whereabouts so you can do nothing to help me. Well thank you for this opportunity but I think I will politely decline. :-D
As I said earlier: If you cannot help me at all, I have no interest in proving anything to you. Sorry.
Are you afraid that some harm will come to you if you name an Apple Store that was slow to repair a phone?
Nobody is asking you to disclose your whereabouts. Just tell us which Apple Store took 2 weeks to repair a phone, if indeed there is one.