The ASEK does have a sharp edged end for breaking glass, that is right. but on the other hand if you for any reason you have to hammer the edge into something, the thing you hammer with will be destroyed because of the sharp end. So in that case we are both right.
About suggesting Fallkniven back and forth, up and down, here and there as you put it. Well, it is a good knife, I believe it is the best, and many with me, like other people think their brand is the best and just because I want to inform you about that fact disqualifies me from the discussion and renders me a warning, that is so not cool. Why dont you pick on the people who swear by their Strider knives or SOG or Becker or RAT or even that strange overpriced Italian brand, ultimata, optimala, whatever.
The reason I would choose the ASK between the three is because it has a decent size. I do have a SRK lying around and I have handled the Ka-Bar and those feels to big to me. It is nothing I would be dragging around all day in my belt, maybe in my pack but I would prefer a more subtle but still great knife so with the three options it is the ASEK, even though I dont like the end and the serrations. But then you already know which knife I would choose anyway.
By the way, you can hammer on the Ka-Bar as well but the the butt end is riveted, screwed or something so it will eventually break.
The best thing to do if you have the three knives you asked about is to take them out in the woods and use them. You might fancy one of them more than the other.
The reason I suggest shorter knives instead of huge ones is that if you are going camping most camping chores are the same all over the world, with some local exceptions, and in Europe the popular choice for knife is a 4" knife (Bark River, F1, Ray Mears Woodlore, Mora 2000 etc), a multitool and a folding saw or axe. There is no need for big knives, that job you do with the axe and if you bring a big knife you still have to bring a small knife anyway. But there is also no need for the "defence" portion of a knife choice so that itself shortens the knife you choose.
A "survival" knife is not a 700 USD super duper handmade three of a kind titanium NASA Specops 50 part survival system if that chunk is left in the pack or in the car. It is the knife you always carry with you, all the time so your survival knife might be a LM wave if need be. The F1 is a survival knife, as is the ASEK, they are though developed for different uses. The F1 is for surviving in the forests and the ASEK seems to focus on the "getting out of the plane" part. If used in a real situation I guess they will perform the same but the F1 is better quality and lasts longer.
There are knifes as big as the Kabar and SRK in the Fallkniven range as well, the A1, but it is not as popular as the F1 just because it is considered too big.
I am looking into buying an ASEK and bring it outdoors for a spin whe the time comes, I might also buy a Ka-Bar just to have one, but I would still be using my folding saw, it is safer to use.
But still, I am not forcing you to choose what I tell you is good, you decide for youself. I could suggest the Mora 2000 too. It is a good knife for a good price but that too is shorter than a Ka-Bar etc.
I still think the warning is uncalled for.