No, they are not. None of these studies used FMRI; they were either statistical or behavioral, with no neurological investigation. Did you read the article?

From the article you linked:

"Some people like to use the salmon study as proof that fMRI is woo, but this isn't the case, it's actually a study to show the importance of correcting your stats."

Presumably not, the mirror-neuron study does not use fMRI. It works by a measuring muscle response to transcranial magnetic stimulation.

> A reliable index of resonance is the amplitude of motor-evoked potentials (MEPs) recorded from a specific muscle via electromyography (EMG), while a person observes another person acting. An MEP is elicited by applying a single, fixed intensity TMS pulse over an area of the motor cortex that corresponds to a muscle underlying the observed action. For a given intensity of stimulation, changes in MEP amplitude reflect changes in the excitability of motor cortical representations (see Figure 1; for a review, see Fadiga et al., 2005).