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This wasnt a question of which was closest to the original, it was a question of which remake you enjoyed the most.
While TCM03 had a completely different tone to the original it was highly entertaining providing a couple good jump scares and a great set of characters.
F1309 barely came close to what happened in the original (except for the first 30 seconds) but as a F13 homage/sequel/whatever it had the tone right but most of the kills were uninspired and they changed the main killer too much.
As for H07...well IMO that was just poor execution but it was the one that probably stayed closest to the original in terms of characters.
Edit: oops...meant characters