Should one who catches one rak'ah of Friday Prayer recite aloud when making up what he missed?

The latecomer (masbuq) should lower his voice when reciting and not vocalize, because he is treated like a person praying alone (munfarid) in what he makes up. So, if his madhhab (school of thought) holds that a person praying alone should vocalize in a loud prayer, then the latecomer should vocalize. But if his madhhab holds that a person praying alone should not vocalize, then the latecomer should not vocalize. As for the Friday prayer, the latecomer should not vocalize because he is in the ruling of a person praying alone. However, he is considered to have caught the Friday prayer, just like someone who catches one rak'ah of the prayer before its time expires.