(If we are talking about hunter gatherers, not poor exploited peasants)
We are certainly much healthier, with the little trinkets we keep in our houses.
The real point here, is a lot of people today don't realize how supported they are, with medicine and the trappings of modern life. The simple things I've listed are quite literally a wonder, but to the modern human, often it's not even considered a big deal.
Even in a rural remote areas of Canada or the US, you can just get in your vehicle, drive for half an hour, and then suddenly be surrounded by tens of thousands of products to make you healthier. A city dweller can walk for five minutes, and have the same.
No doubt. But I like to spend time in remote wilderness, so I do know what I have and do not have there. I definitely feel healthier if I am outside more often and can take care of various injuries myself, but if I would really need one, I surely would call for a modern medical helicopter and not go find some plants.
If the predator is not breathing down your neck? You are watchful but ignore it.
Similarly, our ancestors and ourselves? We are social animals. We live in a pack. We share defense with our tribe. You and your neighbour will stand back to back, to fight off barbarians. Meanwhile, in parallel, we need to defend ourselves from members of our tribe. The very person who fights back to back with you, to save your community, may be your tribal competitor. Whether for dominance or breeding, we fight amongst ourselves. We know there is risk of our neighbour, our fellow community member attacking and killing us, meanwhile? We lay our head down and sleep.
We're designed to take low probability threats, and cast them off, and nothing is more low-probability than 'it will happen in the mysterious future'.
Global warming is as 'far off' thing. You may say "But this and this is happening!", and I agree! But I still live in my house, I still have grass and trees, I still have food, and so for most people "far off in the mysterious future" is a valid response.
If you can't see the enemy before you, it is easy to shrug away. If you cannot see the threat as impending, it is easy to ignore.
It's in our very nature. It's a requirement to sleep soundly at night.
At least, this is my take on 'far off' threats.
If you made it past age 5 as a hunter-gatherer you’d likely live to 50-60 years of age.