The most annoying thing is however when they cold email you saying "I have this great role for an awesome company". Without saying what the company name and the role is.
In the end, I agreed to have a call with her, just to show her midways that I already was in the office of the company she was recruiting for.
She felt bad for it, and then we found new recruiters. Not saying all recruiters are like this, just a fun anecdote.
The actually company doesn't want to be inundated with resumes without being filtered by the recruiter.
Most companies don't have an exclusive agreement with the company. If they told you the company up front and you decided to apply directly. They won't get their commission.
In the same vein, if another recruiter caught wind that the target company is hiring, they may try to contact the company directly.
Of course they want to get people on the phone.
Either way, move on if they won't tell you who it is.