  The first measurements from the CIBER experiment of extragalactic background
light (EBL) in near-infrared (NIR) band exhibit a higher intensity than those
inferred through $\gamma$-ray observations. Recent theoretical-EBL intensities
are typically consistent with the very high energy (VHE) $\gamma$-ray
observations. Yet, it is possible that the excess NIR radiation is a new
component of EBL and not in tension with the TeV spectra of distant blazars,
since the hypothetical axion-like particle (ALP) may lead to a reduced opacity
of the Universe for VHE $\gamma$-rays. In order to probe whether the excess
component arises mainly from EBL, thirteen observed spectra in high energy and
VHE ranges from ten distant TeV BL Lac objects are fitted by four theoretical
spectra which involve theoretical EBL (Gilmore ), Gilmore's EBL model including
photon/ALP coupling, Gilmore's EBL with CIBER excess and the latter including
photon/ALP coupling respectively. We find the goodness of fit for the model
with CIBER excess can be improved with a significance of $7.6~\sigma$ after
including the photon/ALP coupling; Thus, the ALP/photon mixing mechanism can
effectively alleviate the tension; However, the Gilmore EBL model, on the
whole, is more compatible with the observed spectra compared to those with ALP,
although individual blazars such as PKS 1424+240 and 1ES 1101-232 prefer the
ALP-model. Our results suggest that the recent EBL models can solely explain
the VHE $\gamma$-ray observations, and assuming the existence of the ALP to
alleviate the tension is not required in a statistical sense, thus the excess
over the EBL models is less likely to be a new EBL component.
