OP, I don't know that it's "normal", but it does happen. Read @1lkw+1nVhFa73 reply and you'll see that they think it's normal.
I've been laid off more than a few times. I like to think it's not me, or that I was a bottom performer, but who knows. I can say, that I've had companies treat me like you've described after being laid off or after quitting. I've had other companies treat me much better. I can honestly say that I've been LR'd from Cisco twice and I wasn't treated like that either time.
I interviewed w/ a company that was currently, unknown to me, in negotiations to be bought out by another company. I was offered a chance to be kept on if I'd agree to relocate to Tucson, AZ and I didn't want to go because it was further from family and had a higher cost of living, but the company wasn't going to adjust my pay accordingly so I took the severance package. While many of us who took the package stayed in contact, we didn't help anyone find new roles until we landed ours first as they were our competition. I had a co-worker from that company I stayed in touch with several times a year until they retired 10 yrs later.
I later took a chance w/ a company that was going to go public after 20 yrs as a private company and thought it would be great to get in before the IPO. Turns out, the new investors weren't interested in improving what the company did, they sold off the best parts of it and I was gone before my IPO shares could vest. Then they were out of business in 18 months. I wasn't there long enough to make "friends", and they ghosted me as soon as I was escorted out the door. Laugh's on them as I got a severance package and they didn't as the company was broke by the time they were terminated.
Because I was able to establish relationships that were slightly better than just work acquaintances, unlike @1lkw+1nVhFa73, I've been asked to come back to work under different managers at several companies who've laid me off or just failed to renew my contract if I was a contractor. Cisco is one of those companies. I've switched BU's with every role, but my current department got moved over to my original BU. Now, when I attend all-hands or end-of-quarter/year celebrations, I bump into people that I originally worked with 15 yrs ago who remember me and cross a room to greet me. While some of them never kept in touch when I was first LR'd, they certainly didn't treat me like @1lkw+1nVhFa73 did. How you leave a company is more important than how the surviving people treat you. Your paths will probably cross again and next time, they may wish they'd treated you better when they find themselves in your shoes. I know that, when someone on my team is impacted, if someone on my team ghosts them, then when it's that person's turn, I will treat them the way they treated the others before them. For those on the team that shared prospective job openings with a departing team member, I'll do the same for them.