Sorry to be a pedant but I know for a fact that you would need an AOC for that activity. The bias being that the goods are being transported for the sole purpose of a commercial transaction. An example being the early days of Blue Islands in the CIís. It actually started with the chap who owned the only supermarket on Alderney. He was flying his produce in from Bournemouth on his own BN2. As the only purpose of moving those goods was for sale at the end destination, it was deemed as a commercial flight, and as such, they applied for an AOC, and started the Bournemouth to Alderney scheduled service route. The rest is history.
The same logic applies to say Tescoís, who operate a huge fleet of lorries carrying their own goods, but need an operating licence to do so, and are regulated in the same way as any other transport provider, such as Eddie Stobart who move 3rd party goods.