My point is that golf thrived in some hot climates before the invention of golf carts.
That was my point as well. Thank you.
It may have thrived, but it didn't thrive year round. Northerners went south in the winter, not the summer, and early golf in the South was primarily based around resort play (Pinehurst, Augusta, Aiken, Asheville, almost all of Florida, etc.).
Golf carts enabled play during the warmer months when walking, while possible, would probably have been highly unenjoyable.
How many PGA Tour events today are scheduled in the South between June and August?