It probably should not invent its own language or if it does, it should take inspiration from XPath/JSONPath which is arguably simpler.
PostgreSQL also calls the SQL/JSON path language “JSON Path”, and the data type is called `JSONPATH`.
Unfortunately, ".." just doesn't fit nicely with the "." operator of C-style languages.
I'm almost inclined to go full-XPath, and use "/", so I can use "..".