I have constructed an entire star system with two intelligent species in it. One of them is a human species which developed on a large moon of a gas giant. Now I know that technically moons are not planets but would it be terminologically wrong for the humans to call this world their 'home planet'? And on that note, is it weird to place humans on a moon? (It's a very big one, though, slightly larger than Ganymede.)
Technically speaking, a moon is not a planet. However, every culture has its own slang, so there's no reason that the humans on that moon wouldn't popularly refer to it as their "home planet."
The Oxford English Dictionary records a sense of the word "planet" that rhetorically refers to a faraway place, so it's not unprecedented to use the word in a non-litteral sense:
In figurative contexts, indicating detachment from ordinary existence. Esp. in phrases, as another planet, a different planet, etc., and in rhetorical questions ( what planet is —— on?). Also prefixed to a noun designating a particular state or sphere distant from ordinary life (colloquial (humorous)).