That's ok, I don't plan to send it to any recruiter.
The one contact I had with a recruiting company (big brand name) was when I applied to a job, I interviewed with some technical people at the company, they decided to hire me and they told the recruiting company to tell me I was hired. Some months went by, I got no message, so I took another job, and just for the sake of it I wrote the CTO to tell them they could've at least sent me a note that they weren't hiring me. Turns out the recruiting company misspelled my email address and they were still waiting for my answer and the position was unfilled. Everyone was apologetic but I couldn't go back as I committed to something else.
When you said that they decided to hire you, was that something they told you right after the interview? If so, I think it would've been prudent to follow up with both the CTO and the recruiter after a week or two had passed. Worst case you'll just look enthusiastic about your new job, and there's little harm in that. It's always possible for these sorts of little mishaps to happen, even if it weren't through a recruiter. A short email could've saved much confusion.
No, they said "we will get in touch with you soon", which they tried to (as I found out later) via the recruiters, but I just assumed it was the usual (sadly) method of ignoring candidates they didn't choose. Since I had other applications going on, I just moved on. It was after 1-2 months that I contacted them.
The one contact I had with a recruiting company (big brand name) was when I applied to a job, I interviewed with some technical people at the company, they decided to hire me and they told the recruiting company to tell me I was hired. Some months went by, I got no message, so I took another job, and just for the sake of it I wrote the CTO to tell them they could've at least sent me a note that they weren't hiring me. Turns out the recruiting company misspelled my email address and they were still waiting for my answer and the position was unfilled. Everyone was apologetic but I couldn't go back as I committed to something else.