Yes, the lens itself tilts side to side. But, not forward to back. There is no "click" but just a center mark I have to manually align. Instruction says to pull the lens stage all the way up and it'll automatically align to vertical. Well, it doesn't... not accurately so anyway.
I'm not worried about DOF at the baseboard. At printing f stop, there's enough DOF already (as you pointed out). What I'm worried about is, for example, printing dirty border style.... Everything may be in focus but the image itself won't be rectangular. It may not matter that much by itself but framed in rectangulary cut mat board, slight difference actually stands out. I ran into this when I printed with my D2 not aligned correctly.