  We analyze finite size solutions for a generalized $D$-dimensional
Dudas-Mourad (DM) model featuring dynamical cobordism with neutral and charged
end-of-the-world (ETW) defect branes. Confirming a dynamical version of the
Cobordism Conjecture, we explicitly construct non-isotropic solutions for the
latter codimension one branes and show the appearance of a lower bound
$\delta\ge 2\sqrt{(D-1)/(D-2)}$ for the critical exponent in the scaling
behavior of the distance and the curvature close to the wall. This allows us to
make a connection to the (sharpened) Swampland Distance Conjecture and the
(Anti-) de Sitter Distance Conjecture. Moreover, BPS orientifold planes appear
as special cases in our analysis and the whole picture is consistent with
dimensional reduction from ten to $D$ dimensions. An analogous analysis is
performed for a generalized Blumenhagen-Font (BF) model featuring neutral
codimension two ETW-branes where the same lower bound for the scaling parameter
$\delta$ arises.
