The only time that I can immediately recall having my bag searched with diapers in it was at the airport. Going through security, my bag got pulled for the more thorough review, and the officer was professional. The only people who saw were the officer doing the search, and my husband standing next to me, who knows about my diapers. The officer didn't make any comment about it, and he probably didn't care what was there as long as it wasn't a security threat.
Honestly, security and so forth probably wouldn't even recognize you later in the same day. They see so many people on a daily basis that they will quickly forget. I worked in a park renting out equipment where I had to talk to hundreds of people per day and fill out paperwork for each rental. Because a lot of my attention was on the paperwork and monitoring safety in the immediate area around my station, I honestly wasn't paying close to anyone in front of me, despite interacting with them. Sometimes people would come back a few minutes later because they forgot something and I would treat them as a new customer, even through I just talked to them. Security are probably the same way: once they clear you, they have already erased the interaction from their mind.