This is just a thought, but saying "Willing to relocate: Not unless the perfect opportunity came up" might be filtering in ways you'd find undesirable. If you s

This is just a thought, but saying "Willing to relocate: Not unless the perfect opportunity came up" might be filtering in ways you'd find undesirable. If you say "Willing to relocate: yes" you'll have a chance to decide what's perfect. Otherwise, everyone else is left to decide what's perfect for you, and may err on the side of not reaching out.