Should a person who comes late to Jumu’ah prayer recite aloud when he makes up the rak’ah he missed?

Shaykh al-Islam Ibn Taymiyah (may Allaah have mercy on
him) said :

On the contrary, he should recite quietly, because when a person who
joined the prayer late stands up to make up what he missed, he is then praying alone, so
at that point he is subject to the rulings concerning one who prays alone. During the part
of the (congregational) prayer he caught up with, he was subject to the rulings concerning
one who prays in congregation behind an imaam. So he should do sujood (sajdat al-sahw
– prostration of forgetfulness) if he forgets something in the part of the prayer
that he is making up. Since this is the case, then the one who joined the prayer late
should recite aloud where the person who prays individually should recite aloud. The
scholars whose view is that the person who prays individually should recite aloud in
Maghrib, ‘Ishaa’ and Fajr say that he should recite aloud if he is making up the
first two rak’ahs. The scholars whose view is that the person who prays individually
should not recite aloud say that the person who joined the prayer late should not recite
aloud in this case. Nobody prays Jumu’ah individually, so no one can imagine that a
person making up part of it individually has to recite aloud. The person who joined the
prayer late is like the person who is praying individually, so he should not recite aloud.
But the person who joins the Jumu’ah prayer late is considered to have prayed
Jumu’ah in essence, because he followed the imaam, and different conditions apply to
the one who follows than to the one who leads, with regard to numbers and so on. But the
Sunnah states that a person who catches up with one rak’ah has caught up with the
prayer, so he has caught up with Jumu’ah, just as a person who does one rak’ah
of ‘Asr before the sun sets, or one rak’ah of Fajr before the sun rises, is
considered to have caught up with the prayer and done it on time, even if the rest of his
prayer is done outside of the prescribed time. And Allaah knows best.