However, they give me a small sample as an inducement to buy; presumably to increase sales beyond a baseline, in quantities and at prices sufficient to cover the cost of not only the free food they give away, but the labor to do so.
Cloudflare can provide a free product that's WORTH paying for, if their paid product is so much better, and its sales increased by so much, that the free giveaway can be considered a marketing cost that pays for itself.
No, they don't compromise between them, nor do they reflect one more than the other: the basic law of supply and demand is that markets clear at the quantity and price where the marginal cost to produce equals the marginal value to customers which also equals the sale price.
Common examples that violate each one in term: Facebook, Used cars, Veblen goods, Utilities, Healthcare.
A market that has one large player that completely dominates certain segment(s) is not likely to be a healthy one that is providing value at near cost, why would it be? The incentive is always to charge as much as possible.
I don't think there is actually an equilibrium price defined as some kind of compromise between supply and demand curves absent those circumstances, either; there's an actual price at any given time, but it's not an equilibrium (particularly, without rationality—which incorporates perfect information—you don't have any expectation of an equilibrium even if all the other factors are present, at any price.)
Once you are discussing equilibrium—as the post the grandparent addressed did—you are implicitly discussing at least some of the ideal circumstances you’d like to negate.
Additionally, irrational does not mean unpredictable, after all advertising is extremely effective.
It may or may not be worth it, but it isn't a panacea.