We revisit the a confined (in a Cornell-type Lorentz scalar potential)
KG-oscillator in Minkowski spacetime with space-like dislocation background. We
show that the effect of space-like dislocation is to shift the energy levels
along the dislocation parameter axis, and consequently energy levels crossings
are unavoidable. We report some KG-particles in a pseudo-Minkowski spacetime
with space-like dislocation that admit isospectrality and invariance with the
confined KG-oscillator in Minkowski spacetime with space-like dislocation. An
alternative PDM setting for the KG-particles (relativistic particles in
general) is introduced. We discuss the effects of space-like dislocation and
PDM settings on the confined KG-oscillators in Minkowski spacetime with
space-like dislocation. Three confined PDM KG-oscillators are discussed as
illustrative examples, (i) a PDM KG-oscillator from a dimensionless scalar
multiplier $g\left( r\right) =\, exp(2\alpha r^2)\geq0,\, \alpha\,\geq 0$, (ii)
a PDM KG-oscillator from a power law type dimensionless scalar multiplier
$g\left( r\right) =Ar^{\sigma }\geq0$, and (iii) a PDM KG-oscillator in a
Cornnell-type confinement with a dimensionless scalar multiplier $g\left(
r\right) =\exp \left( \xi r\right)\geq0$
