Shavua Tov. Just returned from the Shabbat Hagadol Drasha of the Chief Rabbi, David Lau. His talk was based on the obligation to fulfill the commandment of והגדת לבנך, to tell the Pesach story to your son.
Rav Lau claims that every year he receives questions on this topic from divorced couples who share custody on the various holidays.
Fathers who did not have rights to be with their children on Pesach, because they had the children on Succot, try to get their children on Pesach as well because of their need to fulfill והגדת לבנך. How could they be denied the fulfillment of this Torah commandment?
There are many opinions regarding this question. Rav Lau took the position that the father would not be granted Pesach rights. His main reason was that this Mitzva can be fulfilled by a שליח. And as long as the father makes sure that his children will be told the Pesach story, he has fulfilled his obligation of והגדת לבנך.