When candidates do this to me I am happy to refer them after I personally screen their resume and I converse with them a little (written or verbal).
I don't refer someone unless I think it's worth my company spending money evaluating them.
I dislike the pushy candidates who believe this approach is a no-effort side door.
Related... Mayuko is a software engineer who has worked at Intuit, Patreon, and Netflix. She now makes YouTube videos full time, many of them focused on bootstrapping a career in tech. Her latest video is about increasing the likelihood of getting engagement when doing exactly the kind of thing the parent suggests. https://youtu.be/SJ3cXmRX7mM
How does this help with asking alumni of your school for referrals? Can't you do that with a regular account?
Without it, I think you need at least to have a mutual connection. (Which wouldn't be that hard to achieve with fellow alumni.)
I was given this advice and thought it was brazen and aggressive and that nobody would do it. I didn't after graduation. I was wrong and when I tried it later, it worked. And I ended up doing it for others who messaged me.
Apply though the back door for VIPs. Plenty of people are happy to put you in. Random people on Hacker News have referred me. Random people from whoishiring threads have been willing to ensure I got an interview.