What is the ruling on one who only visits his relatives for three days during Eid al-Fitr and on some rare occasions?

There is no legal or linguistic limit to the extent or type of maintaining kinship ties; rather, its determination is referred to custom. What people consider as maintaining ties is so, and what they consider as severing them is severing them. Maintaining kinship ties varies according to circumstances; it may be through financial support, visiting the sick, or a phone call. It has no specific time. So, if what a person does is customarily considered as maintaining ties, then they have fulfilled their obligation.