Succinylcholine hits very fast. However, it is possible that, let's say it was a murder suicide and Mom was doing the injecting, that once she gave a shot to Dad, and baby and the dog, she gave herself a shot, it is possible that she would have had a few seconds to toss that syringe a good ways off. Also, she could have used a very small needle, and maybe given the shots behind the knee, it would make it hard to find the little needle mark.

Ten or twelve years ago it was impossible to find any remnants of succinylcholine in a person. In about 5 minutes it all dissipated. Supposedly, ten years ago a lab in Sweden developed a test for remnants of it. It is still hard to trace.
Sometimes, I wonder if these labs find exactly what the DA has asked them to look for, if you know what I mean.