[mothered]

I wonder about the packaging: in my experience more expensive watches ($250+?) often come in 'heavy' boxes to present them well. Both watch and its packaging will surely be heavier than 80g, more like 150 to 200g (at least)?

Just take out the watch and send the packaging with the box back.

This ^

Given the watch weighs around 80 grams, It's Ideal to box them.