You will not induce branching by trimming leaves.
You induce backbudding and subsequent branching on a boxwood by hard pruning older branches. New buds are stimulated in boxwood mostly when woody tissue is pruned. Leaf pinching and pruning green stem growth will not produce much, if any, results.
Wiring boxwood is also mostly counterproductive not only for horticultural reasons, but for artistic reasons as well. The wood on a boxwood is denser and tougher than alot of other woods--branches and trunks taken from old boxwood are so dense they will not float in water. The wood is used to create tools and objects that will last hundreds of years without checking or warping. The density is due to the peculiar fibers in the wood--shorter and closer together than in most other woods.
All this makes bending boxwood a chore or a dangerous exercise for the tree. It takes alot of pressure to bend a largish branch, but very little to break it once bent to the maximum angle--that means you can very easily snap off a branch because so much pressure is needed to bend it...
There are some who argue that wiring is no problem. It might not be for smaller trees, but I've found it can result in snapped branches that take forever to grow back out.
I have found wiring is unnecessary and produces mostly mediocre results--producing smooth curves, where angular bends, achieved through clip and grow pruning, are more appropriate. Also, wired branches tend to want to constantly revert to their unbent shape, which means you're addicted to wire once you start...
