Marketing is a fundamental part of distribution - if you're claiming wholesale catalogues (ie: marketing, 'hey folks, this is what we're selling') are not technically part of what a distributor does, you're moving the goalposts.

There's also pipeline management - while product inflow is not physical entities in the digital world, there is still the issue of finding new products and managing digital license agreements. Being a 'distributor' is more than just 'sending out a product from storage'. If that's all you're doing, you're a 'shipping department', not a 'distributor'