Why? It's pretty useful for connecting with recruiters in my experience, and I don't think anyone can actually do anything just because they have a connection with you.
I do ignore the connections from random students though tbf.
Connecting with recruiters is mostly a waste of time, and generally anyone can just fake being a recruiter. Once someone has a connection with you they can see your extended network, they know where you work, they find out all information you have shared with on your profile, &c. The recruiter may be using you to connect with someone else. You also start to consume their content since you are connected. Better to let them follow you and then when it's time to reach out to offer you a job/send an in-mail.
Generally speaking, unless you operate at an elite level or at an elite institution, you're not getting a ton of worthwhile cold intros from recruiters.
Connecting with recruiters is mostly a waste of time, and generally anyone can just fake being a recruiter. Once someone has a connection with you they can see your extended network, they know where you work, they find out all information you have shared with on your profile, &c. The recruiter may be using you to connect with someone else. You also start to consume their content since you are connected. Better to let them follow you and then when it's time to reach out to offer you a job/send an in-mail.
Generally speaking, unless you operate at an elite level or at an elite institution, you're not getting a ton of worthwhile cold intros from recruiters.