You could, in theory, make a label out of not labeling yourself but that isn't what we're talking about.
I can see how labels are useful for finding community. One potential negative of using labels to find a community is that labels can be exclusive. For example, a label like "LGBTQ+" may exclude people who do not identify as part of that community, even if they have similar experiences or interests. This can create a sense of exclusion and may prevent people from finding the support and connection they are looking for.