Well, what exactly do you define as an obsession, and to what extent does this obsession last? A week? A month? How often do you think of the person? Is it a daily thing, like wondering where their soul is, what they felt during their death, or just a "I am going to play this CD again, I love this music so much"? Do you have an altar you pray to for this dead singer? I'm trying to see the extent to which you consider yourself "obsessed." I mean, I have had a few singers I loved that passed away, one of which was very recently, and I was very sad about his passing.
At the same time, as a fan, I wanted to really be able to say I was a hardcore fan, so I did a lot of research into him -- his childhood, his birthplace, his start in music, some of the more obscure songs, concert photographs...Would you call this an obsession? I wouldn't, but I suppose someone else might. I personally like acquiring knowledge. It has come in handy in cases where I have met men that are musicians, because they are impressed by my knowledge of music, different bands, and individual singers and their lives. They start taking me more seriously, and enjoy having me around for their gigs or to give them feedback on a track, because they feel I have some legitimacy to my claims of loving music. It also humanizes this demi-god celebrity to me, when I see that they, like us, at times were imperfect, and did things they might not have been proud of, and society at times turned its back to them, just like us.
To be fair, my interest isn't only in the dead, some of the band members are alive and well. There have been a few that have really touched me because I felt like they shared a similar life and love of things that I did, or they had a sad start in life or suffered a tragic death. Look at Jim Morrison, for example. Even to this day, there are hundreds of people who will travel thousands of miles just to see his tombstone and get a picture with it. People would leave flowers, bottles of alcohol, and other memorabilia, even over 40 years after his death. I believe the bust was stolen more than once too. Elvis Presley is another one. There are Elvis impersonators in practically every country of the world, and people still convinced he is alive, or was taken by aliens. Princess Diana still has people in tears, when they think of her, and people still leave flowers for her.
It's human nature to want to feel a connection to someone they admire, even if they never met this person. I guess you end up seeing them as a member of your family, or a part of your life, because they are constantly on TV. Perhaps when one sees they too die, it scares people into realizing their death may also be around the corner, you never know when you may die, and celebrities aren't as godly and invincible as we'd like to think. Some people say it's part of our rubbernecking culture, others say it is a way to attach our grief for someone else on to a celebrity, and some say that it can definitely trigger mental health issues in someone who may already be prone to depression. There are tons of articles on the subject. Here are a few http://www.thetalko.com/15-reasons-celeb-deaths-fascinate... http://nymag.com/scienceofus/2014/08/why-some-grieve-dead... https://www.google.com/webhp?sourceid=chrome-instant&...*