Without knowing exactly what button switch was used, its not really possible to tell. Also we would need to know the resistance of the cartos. I would think it should be fine with 10 second draws, but no switch or carto lasts forever, cartos especially. Most button switches are rated to 5 Amps, so you should be ok with whatever draw time you like, but things do tend to die fast at 5V than 3.7V.
Fact: you
will eventually kill the
device. Just the nature of the beast. If you really like this PV a lot, and use it all the time, get another when they go on sale. Backups are always a good idea.