No, and I think you're very judgemental about how people grieve. People who judge you not to grieve in the 'right way' are awful and have probably never (yet) experienced real loss.
I lost a child a good few years ago now and it is totally part of who I am today. It does change and shape identity. I am most definitely not performative about it. If I never had to tell anyone, I'd never tell anyone because it's personal and it's painful to share. I'd rather hide away and keep it to myself.
But it's hard to keep it to yourself because people ask prying questions about your children and what they do. If people would stop asking those questions, it would be much easier to keep it to yourself because you're not forced to disclose it. Disclosing it also comes with the risk that the person finds your loss to hard too know about and decides not to be a friend or social contact anymore, because they are unable to put their own discomfort aside in the face of your loss. (No loss to me, those kind of people really, but it does affect how easy it is to form social connections because you don't know if the person is safe or will run).
In honesty, I want to hide and it takes a real effort to be social and meet new people. I don't want to tell you about my loss and I definitely don't wear it on my sleeve. If you don't accept my dismissive explanation of what my children are doing and push me to the point I can't avoid telling you, if it's the wrong day, I might burst into tears when I tell you. That's on you, not me. And who cares? It's not performative, I can't help it in that moment. If that makes you uncomfortable and makes you end our friendship, then you are the selfish one who is self-centered. At least I can sit with people's pain and tears, even before I had my own loss, because I can centre their feelings, not mine.
It's impossible for some losses not to shape who you are as they are so profound.