There was a good More Or Less (uk radio programme) episode about this last week. Essentially, the European statistics on this tend to be based on excess mortality during hot periods, while US stats currently are much more about what words are used on death certificates. Very different measures and hard to compare.

You can compare modeled heat deaths across different countries, Western Europe is still significantly higher. Eg Figure 3C in https://pmc.ncbi.nlm.nih.gov/articles/PMC7618246/

It doesn't affect life expectancy much, because most deaths are among the elderly (70% over 80 IIRC).