Should I Change my LinkedIn Address to Target a Specific Country for Recruitment Services?

I'm working on a strategy to find clients for my contingency recruitment services. Here's my approach: 1. Interview candidates for my target roles to build a pool of pre-screened talent. 2. Identify companies with job openings, then email them to introduce myself and present a suitable pre-screened candidate. I'll ask if they're interested in learning more. 3. If they express interest, I'll propose signing a contingency recruitment agreement. 4. If they hire the candidate I referred, I will receive my fee. Does this sound like a common approach? I'd appreciate your thoughts or suggestions for improvement.

So companies that have their own recruitment team, what are the chances that they will work with recruitment agencies or 3rd parties?