Legally I think the scanner might not be allowed to tell you whether you have breast cancer but I think it might be allowed to show you a pretty 3D picture.
The division into a scanner, and a person who interprets its results, is arbitrary. Both are subcomponents of a single apparatus.
If the scanner produces a hard to interpret picture, and an expert human interprets it (or publishes instructions for doing so), then maybe the scanner itself would be judged legal - although I expect judges would apply a standard similar to "does it have significant noninfringing uses?"
If the scanner attaches to each image a probability of breast cancer, encrypted with a secret key, and the expert human is merely decry...
Apple's iPhone 7 Plus decided to add another lense to be able to make better pictures. Meanwhile Walabot who started with wanting to build a breast cancer detection technology released a 600$ device that can look 10cm into walls. Thermal imaging also got cheaper.
I think it would be possible to build a 1500$ device that could combine those technologies and also add a laser that can shift color. A device like this could bring medicine forward a lot.
A lot of area's besides medicine could likely also profit from a relatively cheap 3D scanner that can look inside objects.
Developing it would require Musk-level capital investments but I think it would advance medicine a lot if a company would both provide the hardware and develop software to make the best job possible at body scanning.