No. Open source projects are not automatically products.

Webster says: Product: Something (such as a service) that is marketed or sold as a commodity.

For me, a product is something one creates due to demand or expected demand that can be marketed and sold.

An open-source project can be made simply for the joy of doing it without any stress about demand, marketing or anything else. Like going for for a walk, or a gme of chess,

But an open-source project can also be started and created to scratch and itch, that may become interesting for others perhaps becoming a product.

And it can be created to fill a targetted demand as an intentional product.

Here on Hackernews nearly all open-source projects are products and exist in the hope of fame and/or money.

But many of us have projects that are just for fun, Like the compulsion to build your cms and your own static site generator and everything in between and preferably a programming language and perhaps an editor.

Though all of those could become a product in some universe.

I am certainly not going to share my craptacular ssg.