You are right, and that's the whole reason the word profit exists.
What troubles me is that it's hard to interpret an answer to 'are you profitable?' because it's:
- Somewhat subjective: Internal accounting policies (e.g. amortisation of R&D) affect the answer, and you are unlikely to know much about these accounting policies (unless the company has published audited accounts).
- Poorly understood: The person who answers the question may unwittingly answer a different questions from the one asked. They may do this unintentionally, of course, because they don't understand that EBITDA != profit.
Of course, one question on the financial state of the business is not enough.
Profit is an accounting term that most people conflate with one or more of:
- cash flow
- gross margin
- operating margin