I have not been called out about wearing a diaper, I tend to wear an Abena Abri-Form M4s, so they add about an inch to my bottom. I usually wear a pair of plastic pants over the top of the diapers this cuts the crinkle sound of the diaper way down. I have worn a diaper while flying and at a busy conference with lots of face-to-face interactions. No one has ever said a thing or looked like they noticed.
The biggest thing I have found is unless you do something to draw attention to the fact that you are wearing a diaper most people are to wrapped up in their own business to notice. Also don't look nervous this will trip most peoples danger or curiosity senses and this will draw unwanted attention as they are trying to figure out why you are acting nervous. Granted a soiled diaper really cannot be hidden(If it can be helped I would recommend not soiling in public).
The only time I really hear the diaper is when I am not wearing plastic pants and sit down and diaper fills with air and makes the poof sound.
Another thing is people wear them because they need to and most people will not say anything even if they do notice, because they default to adult diapers are for medical need. Other then when I am at work I try to stay padded most of the time minus bathtime, swimming(I have started wearing a swim diaper), and changes.
If someone asks about them, tell them mundane like you are wearing them for college experiment or better yet it's none of their business why you are wearing a diaper acknowledge that you are and leave it at that.
Overall I would not worry about it, act like it is normal(this can be practiced at movie theaters, museums, and the zoo are great places to practice).