I shoot with Canon cameras and stopped using "screen protectors" on them years ago, with no harm ever done.
First, the screen protectors were a real pain in the arse. They fell off or peeled up constantly. (I don't have cameras with Touch Screens, so don't know if they will interfere with those. I don't use one on my phone, which does have a touch screen.)
Second, several model generations ago Canon started providing built-in screen protection.... inexpensive and relatively easily replaced glass on all their DSLR display screens. I haven't looked into current models, but some of the earlier ones I used the replacement glass only cost around $10, roughly the same as the third party protectors. And it was attached with adhesive allowing fairly easy removal of a broken one, as well as easy re-attachment of a new one. I don't know if the cost is the same with newer models that have Touch Screens.
But... thankfully... I've never needed one for any of my cameras. But I know several people who did have to replace the glass on their Canon and helped a couple of them do it. Cheap and easy.
I did have to replace the screen on a phone. Brand new, only had it a couple days, it slipped from a pocket when I bent over and fell about 2 feet onto concrete! That cost about $85 and had to be done at a local shop (it took about 1 hour). Since then I've installed one of the padded cases to my phone (though [/i]not[/i] an "armored glass" cover)... and am a lot more careful about the pocket I put it in! It's survived a few bumps without any problem and I haven't had a repeat performance, knock on wood!
Regarding camera straps.... I use Op/Tech Utility and Classic straps on my cameras and camera bags (their straps have proved to be much healthier for my shoulder, neck and back). Those have the bayonet style "quick releases". However, Op/Tech offers neat little Velcro "safety straps" to secure those quick releases and prevent accidental drops. Op/Tech calls these "Secure Its" and I
highly recommend using them! At under $8 for a set of four (enough for two of the straps I use), they're very inexpensive compared to the cost of a camera or lens repair!
Since what Op/Tech uses are a fairly common type and size of quick release, I imagine their Secure Its would work on many other manufacturers' straps, too... though I can't be certain or give you any specifics other than that they are about 20mm (3/4") wide and 115mm (4.5") long. Reusable, easy to install or remove if needed...
https://www.optechusa.com/classic-strap.htmlhttps://www.optechusa.com/utility-strap.htmlhttps://www.optechusa.com/secure-its.html