sure, increasing charging current can speed up the process, but do keep in mind, fast charging degrade the battery life expectancy, so charge at lower current is recommended, when POSSIBLE.
I do radio control everything (cars, boats, helis, planes) and my garage is filled with very large lithium batteries. The older batteries would last longer charging them at a very low rate (less than 1c), the 2nd gen of tech could handle much faster charge rates (up to 5c), but overall life was heavily reduced. With the latest round "nano tech" lithium batteries (lithium polymer is most common) up to 5c charge rates can be consistently used w/o loss of life. Just to give an idea of the power I'm using my largest boat ran 22.2v (6s), 8,000mah and pulled over 250amps. I also repair lithium polymer cells.
I wouldn't be worried of life being reduced with the higher charge rates. Previously I would agree, but with the new tech I'm personally not worried. I would definitely imagine this new tech is used in the cell phone batteries now a days, after all cell phones are a much larger market than radio control.
The biggest thing lithium's hate is being fully discharged. That will reduce a cells life significantly. Most of the newer phones I believe cutoff prior to fully discharged. Meaning 0% on your phone isn't actually 0% to the battery. So I've read. Not 100% on that. We do have this feature with RC called LVC (Low Voltage Cutoff) for protection.
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