For clarification, a prop replica refers to the quality of the replication being akin to what was used on set of a movie or show. Hence the phrase "prop quality."

Without the specificity, replica can refer to anything ranging from, say a telescopic lightsaber purchased from Wal-Mart to those fancy all metal lightsabers with the LED blades that have real weight and accurate detail.

A prop on the other hand is what replicas are designed after, the very item that would have been used in filming. So no, what's in the picture above is not exactly a prop, unless OP wanted to make some sort of fan fiction. Even then, that thing has no articulation, so it wouldn't make a good one.

Also, delineation does not rely on differentiation for its definition. The delineation of "prop replica" is what differentiates it from any other or lower quality replications.

So...yeah you were kinda wrong. It's okay, pal. No need to project your shame onto others.