You also learned a valuable lesson here that you might have already known. Sometimes people give reasons/excuses that are not really at the heart of why they are rejecting an idea. This comes into play when dealing with customers or in business negotiations, etc... Sometimes your ability to present new facts and information or listening to the objections properly will get you to a sale/closing of a deal or a polite follow up at a later date that also gets you to a positive outcome.
Either way, building bridges instead of burning them is a skill that will serve you well in life!