Does Aura of Courage end the frightened condition if a frightened ally enters its area of effect?

So I just made level 10 with my paladin and got the added feature “Aura of Courage.” I understand that currently I and anyone within 10 ft of me will be immune to the frightened condition. My question then:
If one of my allies is currently frightened and runs into my Aura, do they lose their frightened condition automatically? Or would they just pass through and keep running around?

I’m interested in RAW and what other DMs have ruled here.