The parents have the same rights as any other to withdraw their children for Home Education of a type they deem fit. They have an additional right to attend schools for shorter periods under the T attendance code so that they can attend without being automatically offrolled when travelling for the parents' work.
To say all parents have a right to EHE unless they are in a specific ethnicity category would constitute racism. Which we see plenty of towards Gypsy, Roma and Travellers all too often anyhow.
The advantage of such a vaguely worded leaflet is that they are likely to be handed it by somebody who is actually able to explain more verbally and be more reassuring.
I have experience from working in Gynae/Antenatal (and having an appearance that is consistently associated with one particular group, despite being of very mixed background - thanks to my grandfather's origins) - I'd go over and chat to the patients in a quiet area before they went in to see a doctor, nurse or midwife. They were, frankly, unsure, a bit scared and were already taking a huge step by being there with or without their Mums or an older friend, so the last thing they needed was an incredibly detailed leaflet that might put them off.
Some people just need an actual human to talk to, just like some people learn better from doing than reading or from seeing rather than being told (I'm one of those - didn't stop me getting high level qualifications and my visual learning aids/posters/resources are bloody amazing). An incredibly brief leaflet like that would be better at encouraging them to ask in the first place.