It really depends on how comfortable someone is with the technology, how much experience they have with troubleshooting and how handy they are.
I've rebuilt car engines, soldered up model airplane battery packs and I do home renos including plumbing and electrical. The thing is not everyone has that experience and for them things like troubleshooting or replacing a battery wrapper could seem daunting. All we can do is put the information out there so people can decide for themselves what they want to do. Only they know what they are comfortable with considering their skills and experience.
You can never be 100% sure that
anything is safe. I walk my dog every day and consider that pretty safe, but I know we could get hit by a car the next time we go out. If you think that's a far fetched example, it almost happened to us last winter in a snow storm when someone took a turn too fast and I had to get both of us out of the path of the spinning car. Push a piece of wood through a table saw wrong and it can go bad fast. Everything in life is like that.
In this case a lot of us are familiar with the issue and consider the battery safe. For anyone who would like to check out what is under the wrapper, I linked to a tutorial on how to safely remove it and then re-wrap if they decide it's safe and I encourage anyone who has doubts either to do that or recycle the battery. Ultimately it's up to each one of us to take responsibility for our own safety. Except for my dog. I do that for her
IMO your uncertainty with this battery comes from not having any personal experience with the issue. I reacted the same way when I first read about it and then realized that all of mine were the same. I linked to that thread earlier so people who are interested in learning more about the issue can find it. The rest is up to you.
Now I'm going to take my dog for a walk and then make the last two cuts to finish off a woodwork project