Nothing in particular.

Most of the Relic weapons have some sort of real world namesake (Sasuke's Blades are named for the legendary ninja Sarutobi Sasuke), fictional namesake (Excalibur was King Arthur's legendary sword), and/or franchise legacy name (Kaiser Knuckles). The ones that don't are rather generic (Stardust Rod, most Resistance Weapons in their current state, etc). It would take a bit of research and more time than I have at the moment to pull up every one.

But as for "symbolism" of something in the present moment, or at the time they were obtained? There really isn't any.