I had the bobble head feeling almost constantly for 7 months, especially outdoors, which lessened in intensity over the 7 months. I did my own exercises which consisted of head movements when walking. I also found the problem was worse if I sat too long when reading or wartching television. I began getting up and moving around with head movements a few times an hour and that helped.
Today, at 11 plus months, I have the occasional wonkiness, but I can get rid of with it quickly with rapid head movements.
My impression is that, while my vestibular system has compensated for the loss of balance input, my brain can be lulled back to its former state absent some stimulus from movement. Getting up in the morning, first time outdoors for the day, sitting too long, can all lead to temporary wonkiness for me.
So, yes, and to the point, my wonkiness and bobble head did improve with vestibular training. I found my training on YouTube courtesy of the vestibular training videos from Univ of Mich physical therapy dept. I especially found useful the walking in figure eight patterns.
Overall, I feel 100% right now with just momentary relapses to my previous problems. I assumed I needed to challenge my balance system to get it to correct. I am also age 66 and balance restores more slowly after age 60 according to Johns Hopkins website on AN's. Good luck and keep challenging your vestibular system,