Perhaps one should separate the questions.
1.cutting or keeping branches is dependant on wether you wish to develop the trunk further and require sacrifice leaders or branches for that purpose.
2. Or are you just cutting back to introduce taper and change of direction, essentially happy with the overall thickness of the base.
3. Grow box size is also an independent question, the answer based on the stage of root ball development and the time you wish to take to get to a root ball suitable for a bonsai pot.
4. This is a recently acquired tree from a nursery so I would plan on dealing with the growth and development of the root ball structure first. This will be aided by additional sacrifice leaders and branches providing additional foliage during the growing season. So I would modify my cut back/pruning plans to assist the primary goal.
5. Because it is a maple the shallower and wider format is a good choice. 12 by 12 by 3 1/2 is ok but from my experience I get faster development of root ball and trunk thickening with a bit larger size. Anderson flat deep propagation tray. 15 by 15 by 7. I simply do not fill the tray with soil, using the 3 1/2 to 4 inch depth. I allow for a shallow drainage layer.
6. The maples developed in the Anderson Flats grow faster than the ones in the smaller wooden grow boxes. Situated in the same location with the same care! This could be due to the better aeration and drainage of the Anderson flat. My grow boxes have good drainage but not the same as the grid on the bottom of an Anderson flat.
7. Be careful with screened grow boxes they can have the same draw backs as colanders and pond baskets. Drying out too quickly!
I appreciate your insight, my Island friend.
My primary concern at this point is to get the tree out of the ground. I am happy with the size of the lower trunk, but I wouldn't mind developing the right hand trunk further to create a noticeable difference in size to the left hand trunk. Yes, you have made me realize that I should keep the majority of the foliage intact to focus growth in the root ball (at least on the right hand side, I do want to reduce growth on the left side and get rid of the problem area
@sorce identified). But, I wouldn't feel comfortable cutting back the root ball hard, with such a foliage mass.
This brings up an interesting conversation. As you've noted you've had success with using larger grow boxes, ie more of an Anderson Flat style and leaving most foliage intact, in order to push root and trunk growth, Do you leave your root ball just large enough to fit the larger box? or cut it back hard, in order for it to grow into the larger space?
@sorce brought up an interesting point (that works for him), in that, starting with a smaller colander style, encourages feeder roots closer to the trunk, and then split potting continues the feeder roots laterally. In order to do so, initially, one would have to reduce the root ball significantly, and reducing foliage in this case would be smart, due to the reduced energy in the root ball.
They are both interesting methods but like you say which is most specific to my goals for this tree? Which are:
1. Get it out of the ground
2. Increase right hand trunk size
3. Stunt left hand trunk size
4. Encourage compact feeder root system.
I hope I summarized both correctly.
(And I don't mind watering twice a day, if it will give me faster growth. I would also go heavy with my pine bark in the mix, looking for high moisture retention.)