Speedskater
Major Contributor
Yes it is true that many objects in a home have continuity to Planet Earth.No. Ground is actually connected to the "physical ground, i.e. dirt" in most homes in multiple places. As examples, the metal chassis of a furnace is tied to ground through the ground wire and also the gas pipe. Same with a gas stove. An electric water heater through the water pipes. This assumes metal pipe. In fact, if you have a secondary building with a sub panel it's required to have a ground rod. This panel does not have the neutral and ground connected.
But the ground rod must be attached at the main breaker panel.
The Safety Ground wires must be attached to the Neutral at only the main breaker panel.
Detached structures ans sub-panels have more rules.