How do you plan on controlling fake profiles ?
For instance, if I create a bunch of fake profiles linked to a real profile and I post randomly on some fake profiles, access posts from fake profiles from the others, what could be preventing me from doing this (and keep all the advertising money to myself) ?
You basically just described what everybody does with Google Ads: Click bots to click their own ads. So if Tsu displays Google ads, it will be Google's problem (or better: the advertisers' problem). (I don't work at Tsu.)
I don't plan anything since I'm not affiliated with Tsu =)
I don't know if they thought about it but since their goal is to give back advertising money to users, doing so won't harm anyone other than the user who referred you.