So... I got it checked and the shop and tested and it passed all tests. It's completely safe and yes the idea is to keep all the heat out of the laptop and send it to the adapter instead. I only have to worry if I can smell it burning in the room or if I can burn myself on it when I touch it.
It was sensible of me to get it tested just in case though.
It was sensible of me to get it tested just in case though.