  The Dark Energy Spectroscopic Instrument (DESI) collaboration recently
released its first year of data (DR1) on baryon acoustic oscillations (BAO) in
galaxy, quasar, and Lyman-$\alpha$ forest tracers. When combined with CMB and
SNIa data, DESI BAO results suggest potential thawing behavior in dark energy.
Cosmological analyses utilize comoving distances along ($D_H$) and
perpendicular to ($D_M$) the line of sight. Notably, there are $1\sim2\sigma$
deviations in $D_M$ and $D_H$ from Planck cosmology values in the luminous red
galaxies (LRG) bins LRG1 and LRG2.This study examines the role of LRG1 and LRG2
in diverging DESI 2024 BAO cosmology from Planck cosmology. We use
angle-averaged distance $D_V$ and the ratio $F_{\rm AP}=D_M/D_H$, which are
more directly related to the measured monopole and quadrupole components of the
galaxy power spectrum or correlation function, instead of the officially
adopted $D_M$ and $D_H$. This transformation aims to isolate the influence of
monopoles in LRG1 and LRG2 on deviations from $w=-1$. Our findings indicate
that removing the $D_V$ data point in LRG2 aligns DESI + CMB + SNIa data
compilation with $w=-1$ within a $2\sigma$ contour and reduces the $H_0$
discrepancy from the Planck 2018 results from $0.63\sigma$ to $0.31\sigma$.
Similarly, excluding the $D_V$ data point from LRG1 shifts the $w_0/w_a$
contour toward $w=-1$, although no intersection occurs. This highlights the
preference of both LRG1 and LRG2 BAO monopole components for the thawing dark
energy model, with LRG2 showing a stronger preference. We provide the $D_V$ and
$F_{\rm AP}$ data and their covariance alongside this paper.
