According to Osho, many who attain perfection naturally fall silent; realization is distinct from articulation. Buddha said, 'They are silent; I speak.' In Jain terms, a Kevali remains silent, while a Tirthankara is a realized one who also teaches. Thus, enlightenment doesn’t compel speaking—some share, others simply abide, without any urge to speak at all.
Yes: when someone is fully wise, they may feel no need to talk; some teach, others just stay quiet.