It depends on the situation for me. A pilot I knew from my CG days died in a crash a couple of years back, and I think his wife converted his normal page to a "Remembering LT ____ ________" page. Around his birthday, there will obviously be a flurry of messages, but someone will also occasionally tag him in a Coast Guard related picture or something. That's less weird and more honorific to me.
Sometimes it's just flat out weird though. I thought I might type out a bunch of FB statuses from "beyond the grave" I would want if I ever died.