The reason to buy single speed chainrings and chains:
Derailleur chains are designed to be laterally flexible to make it easy for them to slip off the chainrings and sprockets. The derailleurs are there to keep them on.
Derailleur chainrings are machined so that the flexible chain can easily slip off. The derailleurs are there to keep them in line.
Single speed stuff has taller teeth and non flexing chains because there is no guide to keep them in place.
Use derailleur designed stuff and you’ll probably be ok, but it can happen that when you are grunting up a hill your chainstay flexes slightly, and your chain does what it is designed to do on those multispeed sprockets.
With nothing to guide it, it slips off. This can cause a catastrophic TTTIE* which will be very amusing for your mates.
*Testicle Top-tube Interface Event 😳