Earlier quoted context omitted.
Usual Li-Ion batteries get a bit over 1000 cycles, so if this is 10 times more power, it provides more power for 150 cycles than a normal Li-Ion for its lifetime.
No they don't. Degradation of lithium-ion batteries is a function of temperature, time since manufacture and charge level rather than charge/discharge cycles. If you keep the battery cool and don't discharge it below 20% or so, it will last a very long time. If you keep it hot and constantly do full discharges, it will be dead very quickly.
Since I am no expert in chemistry, I rather point to an article here: http://batteryuniversity.com/learn/article/how_to_prolong_li...
Basically, the capacity degrades over charge/discharge cycles. The reason is pretty simple to explain, because you can't really operate the batteries in perfect condition, it always get worse while discharging and charging it.
The other conclusion of that report points to the fact that depth of discharge is related too. So instead of using it from 100% to 0% (actually 0% doesn't mean nothing left, it just means the phone can't operate on that voltage), recharge as soon as you have a plug.