Approached by Amazon today offering their shipping service for us at FILA. 

Is my concern for businesses giving them the deliveries insight en masse warranted?

Web3 fashion-tech consultant & ex-sr designer @ FILA // copperglobal.io.

Founder/artist @ slowcrypto.com.

Having fun @ /slow-co-lab

They do. There are examples of that specially in new trends - that they copy it for amazon brands. 
Would to it for all standard items, but leave the special collections where you want custom packaging etc in the own hands. Therefore they know the data for things that is anyway common.

Building mc2.fi - A crosschain marketplace for token strategies
Tokenomics expert @ mc2.ventures | deep in web3  | piffie.twitter | 20y in startups

Splitting it out like that is a good take. Could get (even more) complicated but a valid option. Very familiar with their (and all the other mass retailers) spinning up knock-off styles so no great shakes there.