  Obtaining the Page curve in the context of eternal black holes associated
with top-down non-conformal holographic thermal duals at intermediate coupling,
has been entirely unexplored in the literature. We fill this gap in the context
of a doubly holographic setup relevant to the M-theory dual of thermal QCD-like
theories at $T>T_c$ at intermediate coupling. Remarkably, excluding the higher
derivative terms, the entanglement entropy(EE) of the Hawking radiation from
the on-shell Wald EE (for appropriate choices of constants of integration
appearing in the embeddings) increases almost linearly with the boundary time
due to dominance of EE contribution from the Hartman-Maldacena(HM)-like surface
$S_{EE}^{HM, \beta^0}, \beta\sim l_p^6$. Curiously, this imparts a
"Swiss-Cheese" structure to the surface $S_{EE}^{HM, \beta^0}$ at a given time
(less than the Page time $t_{P}$), in $\mathbb{R}_{\geq0} \times \mathbb{C}$
effecting what could be dubbed as a "Large N Scenario" (LNS). Then, after
$t_{P}$, the EE contribution from the Island Surface (IS) $S_{EE}^{IS,
\beta^0}$ dominates and saturates the linear time growth of the EE of Hawking
radiation and leads to the Page curve. Requiring $S_{EE}^{IS,
\beta^0}/S_{BH}\sim2$ up to LO in the non-conformal analog of "$c
G_N^{(11)}/r_h^9$", and positivity of $t_{P}$, set respectively a lower and
upper bound on the horizon radius $r_h$ (the non-extremality parameter). With
the inclusion of the $O(R^4)$ terms in M theory, the turning point associated
with the HM-like surface/IS being in the deep IR, results in a relationship
between $l_p$ and $r_h$ along with a conjectural $e^{-{\cal O}(1)
N^{1/3}}$-suppression (motivated by $S_{EE}^{IS, \beta^0}/S_{BH}\sim2$). We
obtain a hierarchy with respect to this N-dependent exponential in $S_{EE}^{HM,
\beta^0}, S_{EE}^{IS, \beta^0} (O(\beta^0))$ and $S_{EE}^{HM, \beta},
S_{EE}^{HM, \beta} (O(\beta))$.
