Battery charging is seldom considered an exact procedure. There are acceptable procedures to charge different battery chemistries. But in practice there can be many subtle variations. Consider your TI.COM chip. There are likely many internal registers designed to give the OEM developer a way to adapt the chip to the application. For example, the application may demand a quick charge time (i.e. 1C or more) in exchange for shorter secondary battery life. Or the application may be for a device which routinely connect to mains power. As mains is expected to be normally available, the charge time can be extended (i.e. 1C or less) thereby extending secondary battery life.
This is a good place to start to learn more.