Hood and fender shake

excellent explanation of why the direction you where going seemed as if it fixed your problem. If both tires have the wobble, even if one is more intense... when they react with each other it can magnify the irregularity of one side. These cars are just looking for a reason to shake anyway, and the wider the footprint your tires have the more significant a warp or wobble will be.
I redid my front end a couple of weeks ago, had it aligned and was so happy. Two days later I slipped a belt on my new BFG's and had more wobble than I had before the rebuild. I had to video the car on the road to figure out where the shaking was coming from. Thank goodness for video. ( my 2 cents also)