strange.. I am continuously removing buds from mine. How heavily do you fertilize?
For me, fertilizer, water are enough for budding, also on the trunk.
As said above, cutting back can work. But I am concerned that the tree is just not in optimal health.
Also, I see old bark on the trunk. Not sure how you managed that: Mine peel. It could be that the old bark is stopping light from getting through. Have you ever cleaned it off?
The yew gets Biogold. Usually I put four pieces on it, and then repeat when they look like they are starting to shrink. That means the old ones overlap until the next one, usually. Usually this means Friday or Saturday, but sometimes 7 days turns into 10 days. I may miss one sometimes.
Most of the summer - which began in May and ran to last weekend, every morning, if no rain. Usually the soil is dry on top and a little damp just below not long before sundown, and then dry in the morning half a finger down. Sometimes the flowers are starting to wilt at sundown, and I water everything then.
I don't like to do anything to the bark. I like the peeling bark on this one and on the jaboticaba. The elms are all growing from seeds off of some elms on campus that have peeling bark and orange underneath. I do peel the moss of carefully. The tree tries to grow new branches and lengthen existing. I have pinched back and pinched back for years and it won't take the hint. It seems healthy enough, it just won't grow like I want it to, sort of like a teenage boy....... (In 1993 I had three in the house.)
Maybe the plan should be chop it off at appropriate height and seal it off, long about end of February, or before if the buds start to grow, then see about bark and maybe peel a little off. Don't touch the roots - I repotted last spring so it won't need it for a while.
There is a chill in the air (at last) and maybe growth will slow down. Fertilize it now with low nitrogen? Next spring after chopping back to biogold?