Why, oh, why is it that so many DLs and incontinent people seem obsessed with the notion that the fact that they are wearing any kind of protection will be noticed by all and sundry? The plain fact is that 99.99% of people will never notice!
If you need to wear, then you should, for your own peace of mind, if for no other reason. I know that in any kind of similar situation I would and quite frankly, I wouldn't give a damn if someone did notice. All that is required is some kind of loose fitting clothing to hide any bulge. You should have no need to worry. Better protected than having wet pants!