Awesome of you to put words in my mouth. I don't think people are 'broken' for having mental issues, and even I certainly would never imply that someone is somehow 'less' because of mental issues.
Just as someone with a broken leg is not a 'broken' person, their leg still needs fixing.
just fyi: 2 people could have the same mental health issues, but one could get a diagnosis and the other one doesn't. The reason for that is because a 'diagnosis' is basically just a ticket to get treatment, and thus is solely based on the question: "Will this person be able to deal with the disruptions caused by the issue, without professional intervention?".
If someone has a panic attack every time they talk to 3 strangers, it's is very plausible that this can lead to difficulty making and maintaining friendships and relations, which can likely lead to loneliness, depression, even further excerbated social anxiety, etc. All these afflictions make it even harder to deal with these issues which is why some people cannot break this cycle by themselves.