This video states that there is a difference between elasticity and "stretchiness." It goes on to state that, although rubber is capable of straining much more than steal, steal has a higher elasticity, because steel is more able to resist a distorting influence, and to return to its original shape and size than rubber is, but that rubber is "stretchier," because it can handle more strain before it begins to plastically deform.

I can't find anything on "stretchiness" in materials science. Is "stretchiness" a scientific term? I thought that elasticity was an analog to ductility. Ductility is essentially the measure of how much plastic deformation a material can withstand before it eventually fails. What would be the term for how much elastic deformation a material can withstand before it reaches its yield point, and what would be the term for how much a material can deform all together from the time a load is applied to the time it fails?

https://youtu.be/2fkKcFjjWLc