I managed to fix the Burda top armhole. So it now looks more like a regular sleeveless armhole. I also ironed the gathers at the neckline to flatten them to minimise the peasant top look. I am done fiddling with this top. I doubt if I will ever sew another version of it, but I am glad that after all the adjustments, it is wearable.
After - regular sleeveless top
Before - peasant style top