I wasn't referring to a mistake as far as ethically or legally, just that it seemed spammy on my part and useless to contact more than one recruiter at the same company when they share job openings and your first point of contact will usually split the commision with the owner of the account if they arent the owner.
That's not a mistake, or certainly not yours. You're not paying the recruiter, you're not they're client, and you definitely aren't beholden to them.
Sign an agreement to the contrary, that's different.