If the first invitation to courtship fails, continuing a lets-just-be-friendship will not lead to a change of mind.
There is no such thing as unconditional love. Every relationship begins with the question, “What is in it for me?”.
Do not waste your time continuing relationship with someone who shows the signs of lessening interest. i.e. Dump first, ask questions later.
Your time is better spent with someone else who is more willing to be in a relationship with you.