Physical imbalance is not a problem.
Please see these two videos:
youtube.com/watch?v=oAXSMKogHgI
youtube.com/watch?v=8pYVmrWzTP8
As long as the nocking point is right, the bow is behaving well. The heavier limb tips are, the more handshock, as is well known. "Timing" is not a problem because there is no such a think like "limb timing" you could affect.
Please, test it - take any bow and grip it middle of the upper or lower limb, put a nocking point at right place (+10 mm of square, as usually) and shoot it. What happens? The bow and arrow are behaving well, the bow is fully shootable.
See this video (starting from 0:50 s.:
youtube.com/watch?v=ir5GKAQG14g
It is interesting to see yumi bow in slow motion, although you can not see the full bow. But you can see the same thing than you see from my videos. Although limbs are moving different distance and different speed, they are in unison - they stops at the same time.
One more thing - how would a bow shoot, which had one normal limb and one fully stiff limb, so one limbed bow? Please try, it is easy to test. How it differs from normal bow? What is efficiency of this kind of bow? If there is some differencies, is the reason limb mass or "limb timing"?
Tiller tree geometry is totally different thing. You have two contact points - hand pressure point at the handle and drawing point at the string. Using these, you will get what you see. But, the problem is that using symmetrical tillering tree geometry and these two points, the bow are tilting at the tillering tree, so you have to "read" the bending of the bow correctly.