Sometimes readers jump to that conclusion, but it's frequently or even usually untrue, while a shibboleth conceptually is something that can only be done by a member of a certain group. Contrariwise, for example, both feminists and anti-feminists could use such "group identifier" terms as cited in the article ("patriarchy", "emotional labor", et c). Using those terms absolutely does not denote to anyone which group you are in, and people who continue as if it does are clearly making an error.
I am a big fan of using contentious terms but then in close proximity expressing views slightly incongruent or even outright contradictory to those held by a stereotypical member of one of the term-using group, to get readers to question the usefulness or applicability of their stereotypes. I have no idea if I achieve my goal or if I just confuse people. Having read your comment, a lot of my writing exists to trigger[1] people who take your view (in addition to conveying useful information for the people who don't fall for the stereotype trap).
I reject the entire idea of the concept that using a word makes you a member of some group and thus permits a word-reader to infer some information about you. That's just bias, something we should all be looking out for and frustrating when possible.
[1]: this one wasn't planned, but is funny nonetheless.