  We present a uniform analysis of the atmospheric escape rate of Neptune-like
planets with estimated radius and mass (restricted to $M_{\rm
p}<30\,M_{\oplus}$). For each planet we compute the restricted Jeans escape
parameter, $\Lambda$, for a hydrogen atom evaluated at the planetary mass,
radius, and equilibrium temperature. Values of $\Lambda\lesssim20$ suggest
extremely high mass-loss rates. We identify 27 planets (out of 167) that are
simultaneously consistent with hydrogen-dominated atmospheres and are expected
to exhibit extreme mass-loss rates. We further estimate the mass-loss rates
($L_{\rm hy}$) of these planets with tailored atmospheric hydrodynamic models.
We compare $L_{\rm hy}$ to the energy-limited (maximum-possible high-energy
driven) mass-loss rates. We confirm that 25 planets (15\% of the sample)
exhibit extremely high mass-loss rates ($L_{\rm hy}>0.1\,M_{\oplus}{\rm
Gyr}^{-1}$), well in excess of the energy-limited mass-loss rates. This
constitutes a contradiction, since the hydrogen envelopes cannot be retained
given the high mass-loss rates. We hypothesize that these planets are not truly
under such high mass-loss rates. Instead, either hydrodynamic models
overestimate the mass-loss rates, transit-timing-variation measurements
underestimate the planetary masses, optical transit observations overestimate
the planetary radii (due to high-altitude clouds), or Neptunes have
consistently higher albedos than Jupiter planets. We conclude that at least one
of these established estimations/techniques is consistently producing biased
values for Neptune planets. Such an important fraction of exoplanets with
misinterpreted parameters can significantly bias our view of populations
studies, like the observed mass--radius distribution of exoplanets for example.
