I think it’s generally accepted what people’s issues are, so when somebody wears a badge saying ‘No Tories’ I know that this person is left leaning, compassionate, anti racist and pro the common woman.
Anti Racist - Starmer spent the first part of his leadership trying to remove entrenched racism from the Labour Party, which rather suggests that racism is a problem on the left.
Left Leaning - probably - although they could just like Reform.
Compassionate? The badge suggests not.
Pro the common woman? Not much evidence to support this.
I think you could conclude that wearing a badge like that at work suggests a lack of judgement and intelligence.