We always overlook things.
As I wrote the post above, it occurred to me that I had overlooked something. My stuff lacked one of the things I always use or tell someone to use; a cold pack. I've got them in the freezer at all times, but there might be any myriad of reasons that they may be unable to be used. So, I went out this at lunch and bought some, which I will divide between the bags I've got prepared for my wife and myself. Mayeb it's not a trauma item, but a cold pack helps with all kinds of injuries.
I think using a space blanket beats using nothing, but analyzing the kind of job one might do is not my forte.
Anyway, I overlooked the entire idea of a trauma kit like you have. Now, I've found some things that need to be added to the car, thanks to the comments of both Taurus and JIM.