I think most people do the initial drying with either the entire plant hung, or separated into main and side branches.
The only advantage I could see to pulling off each bud individually would be that more air exposure might speed up your initial dry by a day or three so you can get to curing faster. On the other hand, its also more work to flip the buds, involves more handing, and takes up more space. I think you can still get good results this way, but I don't think the advantage of saving a few days is worth the extra work.
If you are impatient, you can always just cut off one or two buds to cure quickly for a sample.