I see this argument a lot, but are you sure? Let's assume the cables are using 2.5mm^2 which is around 1950's installation "standards", in the worst case that's 13A derated. Is that not enough for 800W of power? Now, I'm not saying that a standard 3-pin plug couldn't cause fire issues, or a bad connection, but that's true for any 3-pin plug with an 800W load. And this completely bypasses the RCD issue because even 800*2 W would still not be enough to cause any fire issues.
I'd be more worried about the plug being used, rather than the current situation.