On the one hand, this isn't in the job description, so...no.
On the other hand, I actually think it's useful for people that are programming systems that other people use to actually use the systems themselves in a production environment to see how they function. If you're a programmer writing software that people at the warehouse have to use, it SHOULD be part of your description to do that job for a few days a year to understand what the biggest problems are.
And also: no volunteering. If you spend any time doing this, they pay you whatever your hourly wage is + overtime. If you're a high-paid programmer and you do this, they pay you your programmer wage and compensate you for your time. It's such a drop in the bucket for them, there's literally no reason but greed not to.
Lastly: fuck Amazon and their shitty labour practices and horrendous (reportedly) work environment. I wouldn't work there on a bet.