This week on the blog, we have some fun critiquing the arms and armor at Helm's Deep: https://acoup.blog/2020/06/05/collections-the-battle-of-helms-deep-part-vi-is-this-a-good-sword/ … Spoiler Alert: It is not, in fact, a good sword.
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This got raised in comments. This is a film-only scene. If Jackson thinks Aragorn is going to lie to this kid, he has catastrophically misunderstood Aragorn's character. If he thinks Aragorn doesn't know a good sword, he has catastrophically misunderstood Aragorn's character.
So the issue boils down to two possibilities: 1) The prop team, in trying to select a sword to make this point, picked a bad example OR 2) Jackson catastrophically misunderstood Aragorn's character. I think the evidence argues for (1) over (2), given the rest of the films.