In the past years, while your mother played in the sunlight and your father smiled at girls and drank cool drafts as the evening drew in, before you were even a glimmer or a sunbeam, we had devices called "film cameras".
These "film cameras" did not have electronic components. They worked by using levers, springs and wheels. An emulsion that is reactive to light was prepared and pasted onto a plastic film. The plastic film was exposed to the light, but briefly. Later a complicated process was applied to transfer the reacted image (for that is what it was) onto other media, which could then be copied.
If one looks upon The Sacred Ebay (all bless the name of Sacred Ebay) one will find similar devices today.
Wherein the effects of radiation on films is documented. The answer is that some damage occurs, but films are fogged only by extreme conditions such as those that STS-31 got hit by. I don't know what steps were taken by apollo to protect films, but I would not be surprised if some protection was used to prevent excessive damage.
Also I would point out that Apollo missions were 8 days in length while the martian missions are 9 mths long (if they smash into Mars at 13k kmph) or hopefully 24 mths + long if they work - hence the serious need for hardening.
Anyway - if you like don't believe in it all - the rest of us are happy looking at the photos, data and science and enjoying the general idea. You can believe in invisible pink unicorns or ghosts or something instead if you like! (we don't mind)
Not at all, the hardening is for electronic components, the Hasselblad camera is all mechanical. The astronauts would have had to store the film in lead lined containers, but they had the advantage of bring the films back with them. Curiosity has to rely in electronics to get the images back to earth because it's staying there.