EMT Scissors are important to safely cut clothing off an injured person without moving them excessively. A knife with a sharp tip would be very dangerous. You might justfy the scissors for first aid applications.
What are you planning to use the saw for? In many cases wood can be broken to shorthen the length. If it is for fire then don't cut it just burn it in half or burn one end and keep pushing it to the center of the fire as it burns down.
On the other hand both saws and scissors are specialty items when compared to a knife so maybe you don't need either.