Except that "product" means some real result of a creative process. There's zero about the term "product" that has any reliance on any element of money inherently.
prod·uct \ˈprä-(ˌ)dəkt\ 2.a.1 Something produced ; 2.b Something resulting from or necessarily following from a set of conditions. This book is the product of many years of hard work.
There's another sense (not listed) in which "product" specifically refers to prohibited drugs. I know, and you should know, that quadrangle wasn't using that sense. As regards the point being disputed, rburhum is plainly wrong to say "If you are not trying to make money, then you can't call it a 'product'", and quadrangle is completely correct to call him on it. You can call anything produced a "product". That is the meaning of "product".
If the word "product" is used in the context of "Business Model" (as in right under the "Business Model" subtitle), then it is fair to assume the definition of Business product https://en.wikipedia.org/wiki/Product_(business) and not the by-product of a process or anything drug related.
He is not "plainly wrong" if the first definition of the word in question is literally supporting what he is saying. Your assertion of his correctness is what is plainly wrong.
Don't get too hung up on "the first definition". The first definition of product in M-W is "the number or expression resulting from the multiplication together of two or more numbers or expressions". That says absolutely nothing about what it means in any particular sentence.
The bit rburhum objected to says "We're not trying to make money. We're testing a product right now." This is correct idiomatic use of the word "product" (in the sense "something we make"), and it's a relevant answer ("we don't have one") to the question "what is your business model?".