Thank you for the question — the distinction is indeed not obvious at first glance, so let me clarify the terminology.
In the ICT model, “stabilized information” (I_fixed) does not mean spatial localization. It refers to temporal stability — a structure that maintains its form under changes of context (i.e., has a low dI/dT).
“Local,” on the other hand, refers to position — something defined within a particular region of physical space or within an abstract state space.
In short:
local = where it is,
stabilized = how well it persists.
These properties can coincide, but they do not have to. For example, an interference pattern may be local but not stable, while a mathematical invariant may be stable without having any spatial localization.
Within the ICT framework, I_fixed is introduced specifically as temporal stability, not spatial confinement.