The Office for National Statistics (ONS) have released statistics showing annual temperature related deaths impacts have declined over the last century.
I hope this helps clear up and the claims there are more temperature related climate change deaths, the ONS statistics clearly show that there are fewer climate temperature deaths occurring.
There are many factors owing to fewer deaths such as energy security, affordable energy, air conditioning, better planning and technology, better insulation, functioning healthcare system and more...
Figure from Page 11 (Changes in hospital admissions from conditions associated with warmer and colder days).
Related studies (Cold is the biggest temperature related killer, not heat.):
The impact of global warming on health and mortality | SMJ - Nov 2004