You can also use them for self defense. The military uses FMJ bullets almost exclusively. The rounds you pictured certainly wouldn't do a bad guy any good if you hit them with one.
I can't in good conscience let this go without comment. It's is generally considered a very bad idea to use FMJ ammo for self defense purposes. This is an argument that has been going on since Jesus was an Ensign (as my Dad would say) and although there are some compelling arguments for FMJ's over JHP's, most don't pass the BS test.
The "Military uses it, so it's good!" argument is one of the smelliest arguments for the use of FMJ. First of all, it's politicians who decided that our military would limit themselves to FMJ, not actual military people. For some reason, our government decided we'd follow the Hague convention (the Geneva Convention is not the treaty that limits the use of expanding ammo) even though we never signed it. In addition, many Military Police units (I won't say all, since I only have experience with the ones I've spoken to) load their sidearms with JHP. I wonder why?
But probably the biggest reason the military uses FMJ is because their mission favors the penetration. They need to be able to shoot through things. Penetrating a bad guy and hitting the bad guy behind him is a good thing. In a warzone, there's less chance of collateral, innocent casualties, from small arms fire. For the military, there is little drawback to using FMJ.
In our little world? Where we're not in a warzone? Where there could be an innocent person in a car behind the bad guy you need to stop that you can't see? Well, let me put it this way. Penetration is good. Without a certain amount of penetration you defeat the purpose of a firearm. But over penetration is bad. FMJ's, especially in the higher velocity rounds (9mm, .40, etc) have this nasty tendency to go through and through their intended target. And in most cases, with enough force to injure/kill/maim an additional person if they're in the wrong place.
Now, the two inevitable arguments:
1) Even with modern JHP, they don't always expand, and in certain cases can act like a FMJ.
and
2) You're more likely to miss your target than hit anyway, so even if you're using JHPs, you'll have a chance at hitting someone who isn't a bad guy.
Let me re-phrase these arguments (since, they really are essentially the same argument) so you can see how ridiculous they are.
Since JHP's aren't perfect, and can be overshot, and in some cases can over-penetrate, you should make sure to send even more lead past your intended target by loading FMJ's.
I know you were mostly arguing that JHP's are the better bet, I just think it's irresponsible to suggest them. And the military argument is very weak, since they have a different mission and different regulations to us. If he police carried FMJ, you'd have an argument there, since their "mission" is more closely related to ours and in a nearly identical environment. But of course, every LE agency in the country loads JHPs. That alone should say volumes.