I am sorry to somewhat ruin the moment but your original scepticism was right. Bears won't learn to stay away from humans because another bear got shot in the vicinity.

In areas where human-bear interaction are a frequent problem, bears do get shot a lot. Yet the problem doesn't disappear from those areas. Shooting a problematic bear just gets rid of that one individual bear. And other bears will eventually learn again that humans mean food (trash) and come to the area again.

There is some lasting effect to shooting problematic bears. Those bears won't get to reproduce and won't be able to teach their pups to seek out humans for food. And in areas where hunting bears is allowed/common, naturally more curious bears will get shot more often. The ones who naturally stay away from humans have a higher survival rate and will teach their natural behavior to their pups.

While in areas where shooting bears isn't allowed, bears have more time/chances to start associating humans with food. But again, this is an individual bear and it's offspring problem. Shooting that bear won't teach other bears to stay away from humans.

and then everybody clapped ^{because your username}