I believe, there are two reasons. One the blade is not guarded, Two, A band saw will not kick you hand away, it tends to grab and pull.
Even when doing my apprenticeship in the early 70's when safety was not so much a priority (Safety Glass's, ear protection belt guards not required) you would never see a circular saw that was not fitted with a proper guard in cabinet shop, unlike most DIYr's who seem to discard the guard.
I have see a few accidents with a circular saw, thankfully none to serious, I have seen one with a band saw, finger and thumb almost surgically removed and two with buzzers, tips of fingers lost. It was common teaching, that the band saw is the most dangerous machine.