Your continual references to "busy bodies" tells me that you are or have experienced discomfort when you breastfed even under a blanket. If you believe that what you are doing is right and natural; just ignore the posts and looks and comments. Their posts and looks and comments are natural too. That's my point dear Motherbear.
What usually follows in online debates on this subject once it reaches the "busy body" charge? Is that detractors to public breastfeeding are trying to force WOMEN BACK INTO THE KITCHEN. Like, out of sight. Like under "a man's thumb".
You weren't planning to "go there", were you?