No inheritance, yeah. It's primarily as simple as Jic noted. The Rule of Thumb i've heard often is just make sure your new character pays market value for everything they get, both in terms of credits, and Work exchanged for value. I'd generally also extend it to Faction-based asset benefits, so we don't just let our new characters magically get access to more faction assets than any other new-joiner, just because of what your previous character did. It just gets more egregious if someone, for example, Loots a faction, dump the assets into a friend's faction, drop character, and then make a new one that benefits from the assets sent to ZC/Dread. I could also see issues with a new character "looting" a non-arms-length faction to get around obvious inheritance rules.
If you have specific concerns (or specific plans which a reasonable person would be concerned might breach the Rules), you can always go to IRC #swc-help to ask the ASIMS for some quick clarification if they're around. Hard rules limitations are never really going to be put on the Forums, because so much of it is on a case by case basis.