I will say that the gig economy is actually distinct from the job market. Rather than being a worker employed by a business owner, you have no employer and are forced instead to buy all your own equipment and fuel to perform work. That's not distinct from capitalism, though.

Once Uber starts demanding loyalty pledges from drivers and forbidding them from working for Lyft, it may start to look more feudalist. As it stands, though, Big Tech doesn't demand exclusivity. Under feudalism you couldn't serve multiple Lords - you had to choose.

Also, feudal competition wasn't market based. It'll be feudalism when Uber drivers start killing Lyft drivers for being godless heathens.