Lycra and hybrid bicycle
I would say that it isn't very common to see people wearing Lycra on a hybrid. However most people I see on hybrids wouldn't ride 80 km. At that distance, the right clothes can make a real difference in energy expenditure and comfort.  The people who don't wear Lycra mostly don't know the benefits or feel too self-conscious to wear it. I think that you should keep wearing Lycra if it makes you comfortable.