Wetting while wearing while out can feel a bit weird, especially when there are other people nearby. I had to break the self-conscious checking for leaks - constantly checking the front of your jeans for leaks draws far more attention to the diapered region than a diaper alone ever would.
Can't remember ever even thinking about my diaper getting wet while out - but again, no choice in the matter anyway.
But yes, constantly checking to see if a diaper has leaked is going to attract way more attention then anything else really - you have to be able to trust that it won't, and just do with the diaper has been used, so as soon as you can, change it. That's all there is to it, NBD really.