I think part of what's happening there might be that what you describe as "hot = abroad", on closer consideration, would actually expand to "hot and not raining

I think part of what's happening there might be that what you describe as "hot = abroad", on closer consideration, would actually expand to "hot and not raining = abroad". Global warming might be delivering "hot", but it hasn't been delivering "not raining". So this might be connected to the discrepancy you've noticed between the language of climate change, and people's opinions about the weather. I've certainly spoken to people who've tried to tell me that increased rainfall is the reason why they don't believe global warming is occurring, presumably because: (a) they conflate warming with "good weather" (for some definition of good weather), and (b) they're not well acquainted with how the water gets up in to the sky in the first place.