I had recruiters chasing the same job when I was out of work in 2016.
Normally the call (from the recruiter) would be along the lines of:
Recruiter: Hi, I'm calling about an opening we're trying to place at XYZ co. From your Indeed profile (or Monster or...) you could be a good fit.
Me: I was presented to them last week.
R: Ok, XYZ Co. will only accept an application every six months. I'm also working with...
A professional recruiter should respect that you've already been presented as a candidate to the hiring company. A simple
"I can't share who submitted my application to XYZ Co. I find your asking to be unprofessional'"
Any recruiter that would trash talk another recruiter would be off my list of who I will work with.