Is there a fundamental reason why Person A can't get both? Equity costs nothing to give out (excluding legal / accounting overhead) and could serve as a great i

Is there a fundamental reason why Person A can't get both? Equity costs nothing to give out (excluding legal / accounting overhead) and could serve as a great incentive. Effectively, a project would say "Hey! Give us $300 dollars. We might get you this product we're trying to build, but we also might fail at delivering. Here's some equity too, to help compensate for your risk."