CR2032: This battery is even thicker than the CR2025 and has an even higher capacity. It is unlikely to fit in devices designed for the CR2016, and it may cause damage if used.
LIR2016: This is a rechargeable lithium-ion battery that has the same dimensions as the CR2016. It has a higher capacity than the CR2016 and can be recharged multiple times.
In general, it is not recommended to use a battery that is not specifically designed for your device. Doing so may void your warranty and could even cause damage to your device.