I live on a very sparsely populated large island in the North Atlantic. ...
.... the people who bring a pack with gear, water, food are never the ones they have to rescue...
Environment always dictate the needs (be it clothing, gear, food, etc.). And bringing a little extra, just in case, it is usually not a bad idea.
HOWEVER carrying a crapload of "just in case" stuff my impede doing what you plan on doing. And I have experienced this situation a couple times (you learn after that and don't make the same mistake three times). In some instances, light is right and speed translate into safety. I am talking alpine climbing above the three line, away from anything you could burn, away from anything you could use to create a shelter (besides a snow cave).
My climbing partner and me made this mistake while trying to do the "3x4000m summits route to the Mont Blanc" (4800m) in the Alps. We loaded everthing but the kitchen sink. Extra climbing gear, extra clothes, extra food, stove, sleeping bags, sleeping pads, two shovels, two ropes, two ice axes each, etc. While going up in the cable car we realised that our packs were HUGE compared to the other guys packs... we thought that they might be going to do a different route or something... But no, they were going to do the same route as we intended.
Everyone was basically running, light packs and enjoying. My pal and me were doing ok... but slow. Until we realised that by the time were were reaching the first summit, everyone else was on their way to the Mont Blanc already. They were hours ahead of us. We turned back.
Next time we did it just like everyone else (or almost) and realised that the real safety there was to haul ass and be done as soon as possible.
I think there has to be some kind of compromise between being prepared at all times for the Apocalipsis and not even having a backpack. I always carry a pack because it is more conveniente for me to carry stuff there.
Knives wise, I carry a light modern folder in my pocket (serrated if there are ropes involved in the activity) and a SAK in the backpak. If I carry a stove, I change the SAK for a multitool, just in case I need to pick up hot pots or fix the stove itself (they come with a dedicated tool, but you never know...). Fixed blades are for when I want to PLAY with them. No real need for them in what I do.
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