Well, yes, two different people in (probably) two different parts of the country are always going to have different experiences and opinions, lol.
For me, we only get this kind of heat for a handful of days each summer, if that, so I don't see an issue with any dog skipping a couple of days of walks. No dog will die because they're kept at home for a bit - they might be a bit restless and annoying, but it won't kill them or hurt them in any way.
Whereas dogs do burn their paws and die of heatstroke every year. And once your dog is displaying symptoms, it's too late, so I'd personally rather not take the risk. Of course, what other people do is up to them. As a dog walker, I can only make the decision to close and cancel walks, and put the message out there that I feel it's too dangerous, but ultimately what owners do in their own time is their choice.
As for other countries - no, you don't hear about it there because the heat lasts for weeks/months on end and happens every year, so the dogs are used to it. It's two different scenarios, so I don't know why people keep insisting on making that comparison.