Generally speaking, being up-front and honest about what you're looking for increases your chances of actually finding it.
Whether they are an internal recruiter or someone working for a recruitment agency, if you describe to them exactly what you're looking for, they will be better able to help you.
An internal recruiter will be able to tell you either "Yes, that sounds like us, I think you'd be suited to role X" or "That doesn't sound like us, I wish you lots of luck finding a new job".
A recruitment agency will be able to tell you either "It sounds like you'd be suited for some of the opportunities we have, for instance role X at company Y, or ..." or "Nothing immediately comes to mind, but let me take down your details so I can contact you if something comes up".
Remember that work is a two-way street: you're looking for a job that suits you, employers (in this case through recruiters) are looking to find people who can fill the job openings they have.
Naturally, the way you phrase what you're looking for is important no matter who you're talking to. Saying you're looking for a role where you can 'just do what you're told to do without thinking about it too much' won't go over nearly as well as "I'm looking for a with a clear and well defined scope".