Re: Planned obsolescence
They added this in iOS 10.2, so the 5c probably is affected. Even if it isn't, it would still be affected by short battery life and eventually random shutdowns when the battery gets worn down enough. For what little it costs in terms of time and money to replace the battery yourself, it would be worth it to give another couple years of life to a 5c.
Even if you don't need something as old as a 5c as a phone any longer it will work great as an iPod, or as a toy for a child to play games on that you don't have to be worried about getting dropped one too many times and the screen breaking.