The dictionary says people who believe in Jesus as a supernatural god are xians. jws meet that criteria.
It strikes me that all other distinctions are really things individual religions have chosen to add to the definition, which is what denominations and religions are all about--making their own definitions.
"Belong to Jesus" vs. "receiving salvation through Jesus' sacrifice" to them is a big deal, because they get to convince themselves they are the teacher's pets.
To me, it doesn't really matter which one is more "into" Jesus or any other imaginary bearded sky daddy. The bible has been massively disproven as a source of fact, truth, wisdom and morality.