Yes, it's normal for you to not see your own information if you get the final kill cam. Also, I believe for the final kill cam to show up, it must happen within the very last second of the clock and/or the person dying not rage quitting.
How does the normal kill cams differ from the final kill cam for you, OP? I think they get alittle glitched sometimes. Sometimes they show, sometimes not. Sometimes itll show something thats not even a kill or something weird, LOL.