No, but people using it think it's a fact about frogs. Comparisons involving it contain an assumption/presupposition that's unknowingly false. Jesus employed facts about e.g. lilies in his parables; I doubt dodgy urban myths would have cut it. Please permit the people not so smart as you on the internet to learn someone without having to hear "Arghh I know that". But maybe you've read someone pointing out the frog myth 1000 more times than I! In which case I sympathize.

edit: Hehe I left HN after writing that to do something 'more useful', reading The Inmates are Running the Asylum. On about the 2nd page I read was:

"A frog that’s slipped into a pot of cold water never recognizes the deadly rising temperature as the stove heats the pot. Instead, the heat anesthetizes the frog’s senses. I was unaware, like the frog, of my cameras’ slow march from easy to hard to use as they slowly became computerized."

Yes I'd put it something like a floppy disk for save. It might not be true but it gets the point across.

Never-the-less I respect a good nitpick and I didn't know the article so for me it's a welcome reply

I think you'll find that is more likely Scots rather than English. The Big Yin famously described the effect in his Aussie tours. To be fair, us southerners can also burn as well (but I personally don't.)

What you might consider "English" is two countries and four nations. It's complicated. For safety, I'd refer to the two large islands off the NW of mainland Europe as "Britain and Ireland" (in short.) It's complicated.