On the subject, gedolim also do things we might not think of them doing. The Ramchal is renowned to the outside world as a poet and playwright. Wikipedia:
Luzzatto also wrote poetry and drama, most of it seeming secular on the surface, but many scholars have identified mystical undertones in this body of work as well).
Many others wrote poetry as well, e.g. R’ Yehuda haLevi (Kuzari) and “Solomon ibn Gabirol” (I don’t know how to say that in heimish).