I'm not against bottle jacks, but the problem with 'some' (most?) is weather they will have enough travel to extend from a flat tire, tall enough to install a fully inflated tire. Just check the travel before you get one. You should account for some amount that it will sink into the ground even if you use a board. They also are kinda unstable and can easily 'slip' off an axle too, and relatively heavy. A scissors jack will extend much higher and is lighter and easier to stow securely. Hopefully it has a notch or saddle to keep it from slipping off an axle. They aren't that ruggedly built, I agree. A jack should be securely fastened down because either can make a dangerous projectile should you get into an out-of-control situation.
I stick to a scissors jack. I agree with the Salvage outfit to get one, or Harbor Freight for a bottle jack. How often do most people 'really' use a vehicle jack? I can count on zero fingers how often I've used a vehicle jack to fix an unexpected flat in the last 20 years, and that includes a fair amount of off-roading in Moab and Rocky Mountain trails. My driveway doesn't count (I have had a number of flats in my driveway, but I have floor jacks for that). I generally don't run crap tires either but I also run them low enough to say sometimes they aren't 'great' prior to being replaced with a new set. So tires generally hold up pretty well. But of course a flat could potentially be around the next corner, so you gotta be prepared!
Now that I've said that, I'm sure a whole bunch of guys will say, "Hey, I get flats all the time!!"