theoretical question about what is involved in Timed Dialtation

inn an hypothetical situation, witht things slitghly diferent
(this is one of the ways I have easynes of understanding things, my slightly distorting indivudal parts, to see what remainst he same, what changes,a nd why)

if the packets where not discarded from being old, or from filling up an cache, and without the other stuff that prevents such paradoxes
could a sim that has time dilatation of 0.5 for an extended period of time end up getting one day out of date with the surrounding sims (that would be running at a td close to 1)?

If I'm understanding you correctly, you're asking if a sim can get out of date with its neighbors. The answer is no, it can't.