Hmm, I am not entirely sure but I would expect that the variables are not saved in the account, simply because the teases can be played without being logged in. So I would expect that even someone that is not logged in should be able to experience a tease with saved variables, and I may have also done it personally, I don't log in every time I come here and play a tease. However, I do use a private browser and here is the thing, at least with chrome: When you open private tabs it seems that all the new tabs have memory of the other private tabs. For example if I log in my gmail account in one tab, I am in this google account in all the private tabs I open with chrome afterwards, the same with twitter, the same with milovana. So I expect that private chrome has memory. And indeed I have played teases in private, where it tells me that it remembers me coming to the tease again, if I close and reopen it. But I doubt the same would happen if I decided to completely close all the private chrome tabs and reopen them. When I do that, the private browser totally forgets what I was doing in my previous private session in every site, and probably also here. So what I do a lot of times is just opening some private tabs and leaving them open for days, opening and closing new ones, but never closing all the private tabs together. I can't really say if all that works exactly like that but this is what I have from my experiences, hope it does help a bit, mind that I use a mac, and the safari didn't seem to keep memory in different private tabs but only in the specific one you opened.
My soul is a desert, but this doesn't mean it's empty. It just indicates there is a place for everything inside.