Double sided tape can be awesome strong. But you have to know that whatever you are taping to is going to be durable and reliable. When I prepped my EPDM roof for Eternabond tape around the edges, I caused the roof material to lift from the wood substrate in several places. If I had a solar panel taped on, it would have been a road hazard in short order.
I also don't know why the limitations for drilling or screwing. My EPDM roof is over 15 years old with two panels attached through the rubber to the roof trusses for 14 years. No leaks or other issues in that time.