Doctor Who Copying Doctor Who (and LOST)?

I watched last week's episode of Doctor Who, The Curse of the Black Spot, just after having finished listening to the DW audio drama The Whispering Forest. Has anyone listened to it? Did you notice the similarity between the two stories?

In The Curse of the Black Spot The Doctor, Amy, and Rory land on a pirate ship whose crew is being disappeared by a spectral siren whenever they get hurt. Even the teensiest cut will lead to an encounter with the luminous maiden who makes them disappear without a trace. The Doctor figures out that her victims aren't really dead. Instead they are teleported to a spaceship by the siren which is in fact its holographic medic who is simply doing her Hippocratic duty.

On the audio end of things, The Doctor, Tegan, Turlough, and Nyssa land on a planet and encounter the inhabitants of Purity who are obsessed with cleanliness to the point of using carbolic soap until their skin is red and raw. The people of Purity fear the TARDIS denizens because many of their kind have been absconded by The Takers. As it turns out, these Takers are medical droids who are merely following their programming.

Writer Stephen Cole appears to be a fan of LOST with The Takers being analogous to The Others and the titular whispers being heard when The Takers are nearby.