I did tend towards "True in some cases", but then I realized that the question is not, in fact, synonymous to "Are characters with a strong/developed story and interesting personality more memorable than those who don't?" but more like "Would a character be more memorable if they have a strong/developed story and interesting personality?", which is a definite "YES!!"
I wanna make comics of my characters so baaaaaaaaad But whenever I get up and onto my tablet, my brain and hand just goes like "nope, too much work" X'D Because all that panel drawing man skdjfad //is lazy
A character I adore is Sho Minamimoto from The World Ends With you-- he has little backstory stated in game. Yet he's one of the most memorable and loved characters in the whole thing because of point B, an interesting personality.
That's why I specified "strong" story, meaning it's quite unique~ I hate cliches too but when I'm thinking up of stories I can't help but think "ew no wait, that's a cliche too" ksaldfjdsf >3> I covered pretty much every type of story I can think of, I can't think of unique things anymore X'D