I don't think the problem is how it's being reported, I think it's just that this is the kind of news some people will do anything but hear.
Denialists won't listen to anything anyway, but I think there's probably a lot of people who hear 1 or 2 degrees (globally) and just think meh, doesn't sound so bad.
Dated 2013. 10 years ago we were already talking about how we're releasing 4 Hiroshimas into the atmosphere per second. Good thing that woke everyone up and enacted a decisive response to the existential thr---- oh.
So no, we weren't talking like that 10 years ago, but we had identified that we needed better messaging. But we did nothing about that.
I think it is in the order of 10^17 joules or so.
Play with the numbers and see what you can learn about them.
Not sure you need to consider that much of a volume; we're talking about surface temperature, so you can just take an approximation of heat capacity of the surface of Earth.