Currently (mostly) cities don't see Death Valley or Marble Bar range tempretures or beyond .. this will change.
Government statistics show there were more than 10,000 heat-related deaths in the UK alone between 2020 and 2024. Close to 3,000 people died amidst the record-breaking 2022 heatwaves, when UK temperatures exceeded 40C for the first time. Despite this, the UK remains unprepared for extreme heat.
That's just the UK (high latitude), at tempretures lower than current tempretures in Death Valley / Marble Bar.
Give it time for higher tempretures to reach dense urban centres, look to India and equatorial countries that'll experience both high temp and high humidity and you'll see heat exhaustion deaths rise to well past those anglocentric numbers.
The more serious numbers will come from climate related conflict and migration in any case (assuming no change in increasing emmissions, even assuming a flattening to a steady human annual addition).
Cold deaths will decrease in high-latitude countries (which tend to be sparsely inhabited) but heat deaths will increase in low latitude countries (i.e. places like India). The exact effects of this will depend on political factors (adaption), but it is unlikely that the decrease in cold deaths will compensate the increase in heat deaths. Also, the people dying from heat will still be dead.
"Cold deaths vastly outnumber heat-related ones, but mostly due to “moderate” rather than extremely cold conditions."