  We reexamine the results presented in a recent work by Nielsen et al. [1], in
which the properties of the noise residuals in the 40\,ms chirp domain of
GW150914 were investigated. This paper confirmed the presence of strong (i.e.,
about 0.80) correlations between residual noise in the Hanford and Livingston
detectors in the chirp domain as previously seen by us [2] when using a
numerical relativity template given in [3]. It was also shown in [1] that a
so-called maximum likelihood template can reduce these statistically
significant cross-correlations. Here, we demonstrate that the reduction of
correlation and statistical significance is due to (i) the use of a peculiar
template which is qualitatively different from the properties of GW150914
originally published by LIGO, (ii) a suspicious MCMC chain, (iii) uncertainties
in the matching of the maximum likelihood (ML) template to the data in the
Fourier domain, and (iv) a biased estimation of the significance that gives
counter-intuitive results. We show that rematching the maximum likelihood
template to the data in the 0.2\,s domain containing the GW150914 signal
restores these correlations at the level of $60\%$ of those found in [1]. With
necessary corrections, the probability given in [1] will decrease by more than
one order of magnitude. Since the ML template is itself problematic, results
associated with this template are illustrative rather than final.
