Question re. headhunters 'representing' you with employers [View all]

I had a headhunter mention to me that if I found a job opportunity listed online directly from a company to let him know and he could possibly represent me if they already had a relationship with that employer. His rational made sense on one level - that he could get my resume in front of the hiring manager instead of taking a chance on being filtered out by keyword matching software.

On the other hand it's a given that headhunters don't work for free, and if they represent me with an employer they'll be getting a commission from that employer.

So my question is - would it be a turn-off to a company to have a headhunter submit my resume for a position which that company posted online, knowing that if they hire me they'll be paying a commission?