It is hard to see how this is more than a psychological protection ploy.
560 pound test might sound like a lot, but most knots you might tie in that rope might reduce the strength by fifty percent or so, and shock loading the rope (I cringe calling something that thin "rope", string is more appropriate) would also greatly increase the load on the rope -- even a little bit of slack would greatly increase the effective loading on the rope if someone were to slip.
Any rope, when under stress, will cut nearly instantly if it is near or over a sharp edge. A thin cord without a lot of safety factor could produce a catastrophe eve more quickly.
Airecore 2 isn't stretchy at all, and is thin enough that I think it would be tricky to handle safely as a hand-line.
I'd also keep in mind that the 560lb "breaking strength" is probably for cord fresh from the factory. After your piece of string has been in the pack for a season or two and used and abused golly knows how many times it won't be getting any stronger, if you know what I mean.
If you really think you need a rope for pulling people up when they slip, I'd get a short length (maybe ten or fifteen meters) of 4mm or 6mm kernmantle rope, that climbers often use for prussiks or slings. That will be much, much stronger and much more durable and much, much safer.
Also, if you think you need something like this, you probably also ought to get some instruction in how to handle and use it safely. Having a friend who is a climber and is willing to show you a few knots and rope-handling techniques and practicing with the rope a bit in your backyard is probably adequate. Book learning alone probably isn't.