I do agree that these criticisms of powered armor may well be true, and possibly insurmountable, but if you look at what DARPA's funding, they are working on it.
As to "what's the advantage?" I believe that the four percieved advantages of powered armor would be:
- Kinesthetic battle responses. As Joe Demko said, "point and shoot" interfaces are wonderful, but as BrokenPaw points out your own body is the ultimate. If you've tried any video games (such as the MechWarrior) franchise, or tank simulations where you can control camera (head) movment, independantly of your direction of travel, you know how disorienting it can be. However, we do it with our own body every day without a thought.
- A system that can single-handedly bring crew served, or vehicle mounted weaponry to bear in environments that are not 100% vehicle navigable. A "mini AFV" can't jump over a wall, or dive into a ditch either, nor can it climb out of a hole.
- Dexterous manipulation of the environment. Ripping open doors, moving or picking up objects (or people). Vehicles can batter things down, but they can't pull them apart easily unless you get out and throw ropes on things.
- Enhanced survivability from small-arms fire and near misses from larger weapons than infantry with which it (Should, if it's worth it) be able to keep up with, or exceed.
I don't see there'd be any need for "suit proof" weaponry, in a realistic design the weapons would be built into the arms, not held by the manipulators like in Japanime. They would be kept free to deal with obstacles at all times or push the exo-suit back up if it has to "hit the dirt" or is knocked over.
And as far as armor goes, it needs to be determined how much is needed vs. weight and material costs. If an exo-suit is an RPG magnet like a HMMV and light armor are, then I agree, it'll be an expensive failure. However, if the exo-suit can move like infantry, or better than infantry, (admittedly one of many benchmarks needed to prove an exo-suit is worth it...) direct hits won't be an issue, but survivability from fragments from area fire and near-misses will. And I would then expect any worthwhile design of exo-suit to have much, much higher survivability.
The power supply issue is a tough nut to crack, but I think some who propose this roadblock are thinking about powered weaponry AND a powered suit.
Here at least, I'm still talking about conventional weaponry. Aside from sighting systems and electronics, missiles, grenades, and bullets are "self powered". So no multi-megawatt power sources for lasers or rail guns are being asked for. We need power to move, power to communicate, power for environmental control, and power for sensors. The power requirements for gear on that list that infantry already carries are negligible already, so the two main power requirements are movement and environmental control. And that may be within reach of fuel cells, micro-turbines, or even good old IC engines.
"So what if it runs out of fuel?", is the obvious question then. What is the design's operational envelope? But you could also ask what is the continuous combat endurance of an infantryman NOT in fixed fortifications or positions before he keels over?
Our troops are driven into (and out of) battle, even our tanks are. So it's reasonable powered armor would be as well. As long as it's logistical trail isn't any worse than any other system the military has deemed worthwhile, I don't see it as a huge issue.
Of course, the development of "robust" AI, or even just full-body telepresence might make the need for having a human in the suit unnecessary. And then other form-factors such as "spider/crab", "centaur" etc. for the now "device" (not "suit") are possible.