i dont think that either the brim or draped coat is a matter of laziness.
i think its a matter of being cool.
i think also a common “minhag” among the bochrim from some Yeshivas to say the Brochos for an Aliyah in a very casual and hurried manner is a matter of coolness.
cool is very important to many Bochrim in a number of Yeshivas,
or so it seems to me, looking from the outside.