[atomicnumber3]

Ah that's fair, I was being too hyperbolic. I suppose what I mean is "a nontrivial contingent [of seniors]."

Also it's worth noting that while your whole network might be at IBM still, I've found leveraging "I know X, who knows Y, who works at / worked at [target company i want to apply to]". They'll usually only be able to give you a "someone I know but haven't worked with" referral (some places call them just a "candidate lead"), but often it's still miles better than putting your resume in the website intake form. Going 2 degrees out in your network graph is almost always a shockingly large number of people / places.