Let's break it into two questions:
1) how many charge cycles will Omnicharge have before it no longer holds its maximum capacity?
Zero. Omnicharge loses its maximum capacity immediately after use. Even equipped with the patented smart battery management system which actively manages the health and life cycle of each battery cell, nobody can stop the nature of lithium-ion chemistry: Li-ion battery starts depletion at the very beginning of its lifetime. See the cycle characteristics of NCR18650GA (the one Omnicharge is using right now) below, after 500 cycles it can hold around 70% of original capacity.
Above: Cycle characteristics of NCR18650GA lithium-ion battery cell from Panasonic
2) how many charge cycles will Omnicharge have before it's completely depleted and needs to be serviced or recycled?
A few thousand cycles! Again see the cycle characteristics above, the depletion rate slows down as the number of cycle increases, which means even after few thousand of cycles (for example many years of use) Omnicharge can still hold some decent capacity and perform normally!