Is it possible to get a depth first object ordering from git rev-list?

Question

I can almost get a depth first ordering with git rev-list --in-commit-order --objects --reverse HEAD which gives me something like

commit A
tree AA
blob A
blob B
commit B
tree BA
...

When I want

blob B
blob A
tree AA
commit A
...

Post processing the list to depth first isn't straight forward because two trees of common ancestry might share the same child like

tree A is parent of tree B and blob A
tree B is parent of blob A