Well they would if it would impact either them or the work. Being diabetic is frankly uninteresting, it's not clear how your work output would be ever damaged by it (until you reach a crisis and need to be out for weeks, then you'd see people care A LOT).

For the alcoholic, drug addiction, I suppose you're recovering and not currently injecting heroin at work, so I suppose it's the same: as long as you just say it and show no particular behavioral impact, what do you expect people to do ? It's not like they'll spit at you for having paid drug cartels or overly help you and bring you coffee more often as a sign of pity.

Again, bring a needle at work and start injecting and see how they are so self-absorbed they don't care :)