How important is the value of something if someone finds no worth in it?

Over the past weeks a reoccurring idea keeps popping up about value vs worth, if something has a perceived value but not to he/she who possesses it, does it have any worth? Say Larry Lunchmeat buys a lien sale storage locker because he seen many tools from through the open door at the viewing before the storage units were auctioned off. He has the winning bid and as he is clearing the locker comes across a ton of Civil War artifacts. He knows they are old, reads papers and such that says it is from the Civil War, but he doesn’t care, to him it is old junk. Another person clearing a nearby unit sees him tossing the artifacts in a pile with trash. She/he tells Larry Lunchmeat he was very lucky that his unit had all that hidden in his unit. Larry Lunchmeat is unimpressed and says is just a bunch of old junk he will toss out. If the woman/man offers him $60 dollars for all of the artifacts and Larry Lunchmeat accepts, then she goes and sells them making a huge profit, because Larry Lunchmeat saw no worth in it to him, did he somehow suffer loss? To sell something of apparent value for far less because it has no worth the possessor did they cheat themselves or did the person who knew the value and worth it was to others cheat him? Can someone have something of value but because to them it is not anything to be desired, it is worthless to them?