At the panel, ground and neutral are tied together. Ground should never be used as a current conductor when things are working properly. It may be a problem that is using the ground as a conductor that's warming things up. Depending on the length and soundness of the system, there is often at least some resistance between the ground and neutral. Old BX insulation can get hard and crumble if you move things, creating a loose or hard connection where you might not expect it. The metal sheath may look fine and be fine, but over time, it, too can corrode making problems.
While it can be confusing, even though neutral is connected to ground at the panel, any circuit needs two wires to allow for a complete path for the current and one of them shouldn't be ground. IOW, there's current on the neutral wire when you're drawing power even though it's connected to ground elsewhere.