Sam Harris' podcast had an episode with Gary Taubes where you can hear some interesting facts about there not being a consensus on what foods are good for you. Your example about eggs is a good one.
Re: exercise, I think it's clearly been established that the positive effects outweigh the negative ones. A few people may be killed cycling to work, but overall it's better for your personal health to cycle to work than to drive.
An extreme interpretation of any sport becomes difficult for your health, this does not include running 5-10Km distances.
https://samharris.org/podcasts/what-should-we-eat/
Re: exercise, I think it's clearly been established that the positive effects outweigh the negative ones. A few people may be killed cycling to work, but overall it's better for your personal health to cycle to work than to drive.
An extreme interpretation of any sport becomes difficult for your health, this does not include running 5-10Km distances.