Where’s the mitzvah for MEN to stay up and learn? If you look in the S”A, you will see that on Shavuos it is a minhag. However, if you look in the same S”A by Hilchos Pesach, you will see that there is a mitzvah to stay up all night on Seder nights and learn Pesach/Yetzias Mitzraim inyanim. I don’t know of any packed Vasikin minyanim on Pesach mornings, so tell me what’s going on.
First of all, how do you know they don’t stay up until Alos and then go to sleep. Unlike on Shavuos, you are not in Shul Pesach night so it is harder to get people who have been up all night to go to a vasikin minyan. For those who do sleep, it is not as easy to stay up Pesach as it is Shavuos because people are probably more tired from the day’s activities of preparing for Pesach