Seconded.
There is no control over position of header icons currently, and this limits report design in a pretty disappointing way.
For example, I design a report in PBI Desktop and header icons appear inside each visual. I then publish, and PBI Service decides to place the icons outside each visual, even though they get hidden by the other adjacent visuals. I can do nothing about this. To add to the issue, header icons do not seem to respect the setting 'maintain layer order' = off) meaning there is not even a way to bring overlapping header icons to the 'front'.
As a result I am forced to waste space in all of my Power BI reports as leaving c. 30-40 pixels gap around all visuals is apparently the only way to ensure the header icon UI will work reliably for users. I cannot believe Microsoft would intend for this limitation. The idea to control header icon position would solve these issues.
