Well,
She admits having an affair, unlike the other recent case
She had been living in Dubai for a decade so presumably was very well aware of their laws about adultery.
She chose to fly her lover out to Dubai to join her and then spent 6 days holed up in a hotel bedroom with him.
We might not like the laws in Dubai with very good reason but that doesn't mean we can disregard them or expect special treatment. She committed an offence under local law, almost certainly knowing it was against the law, and has admitted doing so. For what it's worth, I presume that she'll serve at worst a couple of months or more likely be deported and the custody battle will resolved in the British courts.
In terms of her DH's actions 'tis interesting the responses on here. Personally I think it is clearly beyond the pale, but people are often stupid, malicious and vindictive in these situations. Where there have been other threads about adultery on here regarding men who've had affairs, there have been many responses suggesting worse than reporting their partner for breaking the law.