Apparently some dictionaries (e.g. Wiktionary) classify this usage as a preposition, but others don't. For example, Merriam-Webster classifies this usage as an adverb.
– BrandinJan 06 '23 at 10:24
Also the title on this question is very confusing. Spatial and non spatial domain? It sounds like some kind of mathematical concept, but in fact you're just asking about how to use the word "home".
– BrandinJan 06 '23 at 10:25
It's a preposition, not an adverb, because in a clause the latter generally occur in adjunct rather than complement function. Further, "home" could be replaced with, for example, the PPs "to my place of residence" / "to where I reside".
– BillJJan 06 '23 at 10:59