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If you want to completely disregard Christie's story...
At least do a decent job. The trouble with bastardizing someone else's work is that you are asking for your skills to be measured against the original's. The reason people are mad is because these TV writers co-opted the title and cache of one of the best stories of a legendary mystery writer and preceded to entertain that they can be just as clever. Unfortunately they only revealed themselves as clumsy posers to those who have read the book and mislead those who haven't into attributing the incoherent and wandering plotting to Christie herself.
The final indignity was that their oh-so-imaginative twist on the new murder was actually patched together from other Christie books. The revenge from long-lost offspring and the long-buried crime in exotic locale are standard tropes in Christie's repertoire. The sad part was that the identity of the murder in the original Sittaford was a genuine shock in the manner of Roger Ackroyd and Ten Little Indians.
So in summary this is a "re-imagining" of an originally twisty story that consists of very little imagination and even less justification for its own existence.