Let me rephrase the question since you seemed to just dismiss it. If you invented a miner that uses almost no electricity and is fairly cheap to produce and nobody else had anything close, what would you do?
If I found a way to mine Bitcoin for very cheap, I would mine the hell out of it. :-) To some extent this is a flaw of the Bitcoin network because sometimes things like this come along; somebody develops a new tech and keeps it to themselves. This to some extent happened when Bitcoin went from CPU to GPU and then again to ASICs. The first ASICs were hoarded. If there is another leap, it will happen again.
The great thing about PoS is you can't really do this. For instance with NXT, you can't just come across a bunch of NXT for close to 0. If it was possible it would have been done by now. (but again things like this do and have happened in the world of mining)
With the ICO coins nobody can find a way to get a bunch of new coins for cheap like can be done with Bitcoin. All the coins are created at once in the beginning. The people that maintain the blockchain aren't getting subsidized at $29.96 per transaction. The people that maintain the blockchain work for a very small transaction fee and these aren't new coins being created but the recycling of old ones. In systems like PoS or PoI, you can't really make a substantial profit forging because there is no $29.96 subsidy.
With these next generation coins, you don't get rich maintaining the blockchain, but at the same time it is super easy and light to do so. You can just leave the program running in the background when using the computer (it doesn't use a lot of resources) or even set up a raspi if you so like and are an enthusiast. Basically blockchain maintenance is transferred from the likes of greedy miners to cryto believers and enthusiasts.
In the case that the person that found the new hypothetical hardware was a bad actor, it would be really bad. One of the scary things about Bitcoin is that if somebody amounts a big enough amount of hardware, they can take over the network. (this would be hard to do as things are right now, but a new device for mining maybe could make it happen)
And for NXT a person would need to buy up a ton of NXT. In doing so the price would shoot up, and then if the person did attack then network then their investment would be destroyed. It would take something like a cyrpto kamikazi.
But for NEM a person would have to get a lot of coins like in NXT, and then get a lot of hardware, and then would have to make a lot of transactions with people outside of their network (the key is with people outside of their network). At this point it becomes really difficult to take over the network.