Don't worry. In 6 years I've never once discharged a battery in any way other then by drving. I've had batteries charged and then sit for weeks. No problems. Yes I've had things go wrong. All were my fault. Punctured one not paying attention. Forgot vehicle low voltage was turn off. Left a battery plugged in for couple weeks. All were mistakes. All were my fault.
Yes lipo fires have been in the news thanks to hover board and cell phones. But overall they are used in so many thing that we pay no worry to.