Yes, accuracy matters in this discussion. Not conflating numbers which have no relation to each other matters. We haven't "surpassed the 1.5C target" just because one year is abnormally hot. When we finally do officially surpass it, we don't want a lot of people to be confused and ask, "wait didn't we already surpass it in 2026?".
Neither side cares about accuracy, and both will prevent you from getting your message out. The discussion has 2 sides:
https://www.youtube.com/watch?v=xVlRompc1yE
and
https://www.youtube.com/watch?v=EcxQZ8ub54Y
These are the conversations that get translated into policy. They are literally about directly satisfying people's emotions. No detours. Accuracy? I hope you're joking.
AND there's the problem that the policy the "pro-global-warming" camp wants will not even help. Global CO2 emission reduction is not realistic.
I'm working in AI and hoping that will help. If I had the realistic option (I have a family to support), I'd love to work in Chemistry to make it at least possible, maybe even easy, to do something about that (of course, even Chemistry products are being designed with AI, so ...). Achieving anything in policy seems to me beyond absurd. In fact I find it very hard to defend the viewpoint that even the policymakers pushing global warming action even want to help. Technological solutions at least might achieve something.