In any case the quality that allows to quickly free all tied memory is not exclusive to a bump-type allocator; any allocator that exists on its own can do that. It is just that we do not often see standalone malloc-like allocators. But they are totally possible. A bump allocator supports other actions that are indeed exclusive to its design: partial free (set a mark and later "return" to it and free everything that was allocated after that mark) or allocating the last chunk step-by-step ("growing"). These are indeed unique to bump allocator, but the way it frees all memory is not.
For example, one might want to combine a bump and slab allocator: generally bump, but allow for 'free' for small sizes with subsequent reuse of the freed slab. This would be a tad slower than pure bump, but will have a better use of memory in certain scenarios.