You're getting close to understanding the problem. What you're really asking about is an inference method, and the optimal inference method is Bayesian inference, which requires specification of what you would expect to see in the temperature record if the current warming rate were zero and also the specification of a prior probability. For the latter, an uninformative prior assigning equal weight to warming and cooling would probably be most suitable here. The former is a bit tricky, and that is precisely the problem with saying "the existence of the hiatus is obvious."
What you're really asking about is an inference method
I am sorry, I do nothing of that sort. You asked a question about whether something exists and it turned out that you have a different meaning (or, maybe, context) for that word than I envisioned. So I am asking you what do you mean by "exists" -- not about the optimal methods of inference.
Given your comment, I think what you are asking is not whether the hiatus exists (as I use the word), but rather whether the warming has stopped -- or maybe whether our confidence in the current climate models is not as high as it used to be.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.