Hi
My name is Nitish and I am working in Digital Advertising industry for more than 6 years. Before than i have done my MBA.
I have handled Google AdSence and Analytics in my job for more than 2 years and have used or tried almost all the features.
As you mentioned about the top right ad sence arrow, it will always appear always if advertiser uses the AdWords or other Google network to serve ads on any website. If advertiser use any other netowrk apart from Google the icon, wont appear.
This is called an AdChoice icon and you can read more it over about it over the internet.
Let me know if you need any other help apart from this, I should be able to help you over it.
Regards
Nitish