There are fake vaccine passports available on the black market.
Why say “no” and then list a bunch of exceptions? It sounds like you don’t think the safety is questionable.
Both my daughter and I have already had the shot, the boosters and we both had Covid! It doesn’t prevent getting the virus, but neither of us were hospitalized. As to harm, I’m nearly 70, and any kind of DNA damage is not a concern. She made her own decision as she too was traveling and the shot was required. We acknowledged the risks and wanted to travel more than make a point. Plus at the time my husband was quite ill and his doctors recommended she & I get the shots. To visit him and be with him we had to. I don’t regret our being able to spend time with him at any cost.