Though I appreciate your trust in me by offering an access to your account [with you watching me], I don't think such step is necessary at this point, not to mention its a gross violation to privacy that I can't bring myself to do, especially without good cause or outcome.
I think it probably demonstrates the OP has a lot of respect for you hence the offer of you to log in to his account. It is (as you correctly pointed out) a step too far and an unnecessary one that also happens to be a gross violation of privacy.
For the time being though, I'm waiting for their side of the story.
They had a lot of time to reply in Casino Guru but opted to skip past the opportunities afforded to them. If they update you with a version of events that will be excellent but in the event they do not respond further, how much time will you allow them to give their side of the story before you give up?
Hopefully we can reach an end before the next weekend come [thus, Friday next week at the latest]. I'm trying to push through a different angle from my most recent nudge [yesterday], but didn't realize it was a Friday night [meaning alraedy Saturday god-forsaken-morning in my contact's timezone], and we're on weekend already.