Vander - JWs don't see themsleves as culpable sinners as other xtians do. The imagine their only real problem is 'inherited sin' which was all Adam's fault.
Jesus' death buys back the value of that first perfect life and by proxy all of Adam's offspring. (Don't go down the rabbit hole of who paid what to whom, it leads nowhere) This wipes the slate clean up to the moment of baptism. All previous sin can be neatly filed under 'imperfection'. But from the moment of baptism JWs must now prove themselves worthy of salvation through good works - specifically through loyalty to the organisation.
They see no distinction as regards the ransom in relation to anointed or otherwise apart from the weird idea that anointed are declared righteous, whereas the other sheep are declared 'relatively righteous' - a bit like being a little bit pregnant. (I'm not making this up)
Russell taught that Jesus' death bought back the life of Adam who would be resurrected. Everybody else was unborn in Adam's 'loins' when he sinned so we were redeemed also - I think Russell was a preformationist. Rutherford cancelled that declaring Adam beyond the pale and changed it so that it was not Adam that was redeemed but the value of Adam's perfect life.