Great info Wombie, thanks! I hope that coming from YOU more women here on this site will give this issue a second thought and reconsider if they really cannot go without a bra :)
There are other options besides wearing a regular bra in the common sense. As you mentioned in your post already, there are healthy non constricing "bras" made from just cotton withOUT wires and heavy panels which prevent lymphatic flow. Or you can wear a crop top underneath, or a cami with build in second layer/shelf "bra".