The core-tool rename shipped `todo_list` on the wire (legacy alias `todo`
kept for old transcripts), but the Desktop renderer still matched the tool
by the literal `todo` in seven places: the live tool.start/tool.complete
mirror into the composer status stack, the todo-stream router, args
carry-over, the transcript hoist, the silent-tool class, the count noun,
and stored-history hydration. Every live task update therefore went into
the transcript as an ordinary tool row while the task panel stayed empty,
and reopening a chat never restored a finished list.
One predicate (`isTodoToolName`) now owns the wire/legacy name pair and
every site reads it.