  On the basis of revisions of some of the systematic errors, we reanalyzed the
electron-antineutrino angular correlation ($a$ coefficient) in free neutron
decay inferred from the recoil energy spectrum of the protons which are
detected in 4$\pi$ by the aSPECT spectrometer. With $a = -0.10402(82)$ the new
value differs only marginally from the one published in 2020. The experiment
also has sensitivity to $b$, the Fierz interference term. From a correlated
$(b,a)$ fit to the proton recoil spectrum, we derive a limit of $b =
-0.0098(193)$ which translates into a somewhat improved 90 \% CL region of
$-0.041 \leq b \leq 0.022$ on this hypothetical term. Tighter constraints on
$b$ can be set from a combined$^{(c)}$ analysis of the PERKEO~III ($\beta$
asymmetry) and aSPECT measurement which suggests a finite value of $b$ with
$b^{(c)}$ = -0.0181 $\pm$ 0.0065 deviating by 2.82$\sigma$ from the standard
model.
