Okay, fine - while everyone HAS at least some protected characteristics, and it is generally unlawful to discriminate based on them, there are likely more instances where you can lawfully exclude certain demographics than others (for example, it'd probably be far easier to have a support from for gay people than straight one).
But everyone has at least some protected characteristics, and its wrong to say that some do and some don't (or, to extrapolate from your example, that Irish Travelers have a protected characteristic whereas white British people do not).