I've never understood this viewpoint. Would a mathematician be ok for dismissing physics since a physics experiment is not as rigorous as a mathematical proof?

I've never understood this viewpoint. Would a mathematician be ok for dismissing physics since a physics experiment is not as rigorous as a mathematical proof? Calling "medicine" garbage because it is not as precise as physics is so silly that I don't really know how to respond. I am imagining a physicist who just had a massive hard attack saying to his doctor: "I'm sorry, please let me die, I don't believe your technique is based on sufficiently precise data."