Early demand is easy to manufacture and hard to read. The discipline is separating people who want the problem solved from people who want to be supportive.
Interest expressed in a conversation costs nothing, so it is produced generously. The useful question is not whether someone likes the idea; it is what they have already done about the problem before meeting you. Someone running a painful spreadsheet workaround every week has demonstrated demand. Someone who finds the idea interesting has demonstrated politeness.
A narrow segment makes the product legible: the same objections recur, the same integrations matter, and word travels because the people know each other. A broad early segment produces an average of several products and a roadmap that satisfies nobody in particular.
A useful test: can you name twenty specific organisations in your first segment, with the person inside each who would own the decision? If not, the segment is a description rather than a market.