The human reaction to death varies greatly from person to person.
It's said that any individual going through a grieving process experiences the 'five stages':
Anger, Denial/Isolation, Bargaining, Depression, and Acceptance.
However, in my experience this isn't always the case. Some might experience all five stages, but not in the same order - or for the same duration - as others might. You can also never tell how anyone will react, and when/if they will react. Some might take only a short time to reconcile their feelings. Others may never do so.
I have similar (but not identical) views to what you have described for yourself, and my own personal feelings about death are that it is as natural as birth. Having these ideas has allowed me to process deaths of friends, family, acquaintances, and even enemies with a very different outlook to those around me.
I can mourn the absence of somebody from my life, but I can also celebrate the time I had with them, and celebrate their life. They don't miss me as much as I miss them.
In the end (pun? What pun?) it's really not worth thinking about how others will react. Funerals are not for the dead, but for the living. It's up to them to work out their own regrets, guilt, sorrow, or even happiness. Don't carry that burden for them.
I'm turning 52 next week. I'm at that stage in my life, unfortunately, where the people I love will start dying with startling regularity. That seems morbid, but it's just reality. Many of my friends and family are many years older than I am. Luckily, we live in an age where people are living much longer, and being more youthful. I look around at the 50-60-70 year olds of today, and they are a far cry from the "old people" I grew up around.