Also, to your knowledge. You have either purchased accounts or you haven't. There is absolutely no way you purchased (or tried to purchase) an account without your own knowledge.
There are most certainly multiple ways of something like that happening:
1) Temporary loss of control of the account due to whatever reason (e.g. hacking).
2) Simply not remembering, which I don't and which is why you are asking for bullshit "statements".
This sounds a lot like you are giving yourself an out from being accused of lying when someone finds proof of an actual transaction with an account buyer/seller.
Why don't you create a thread asking theymos to post all of your alts that he believes you have currently and ever have had?
Why don't you?

When someone is asking for themselves, theymos is more likely to give up this information because this person is giving up their privacy themselves, rather than someone else requesting that theymos violate the privacy of a third party.
Do you have a reason to not want to ask theymos to provide this information? Would you have a problem with theymos publicly posting all of your current and previous alts?