Yes, As I understood it, one of the core tenants of WT theology has been that Jesus died for Adam's sin. This gave Christians the opportunity to have their sins forgiven conditioned upon works and piety. The numerous passages in the NT that describe forgiveness are applied to the 144k alone as having been credited with purity (forgiveness) while yet in a sinful/human body. However even this forgiveness is though of as a moving condition, that is, sins up to that moment are forgiven, but future forgiveness is predicate upon continued 'faithfulness'. They do not have a concept of once-and-done 'justification.'
Since that is reserved for the 144k, the WT teaches that, as a technical matter, the Other Sheep are not credited with forgiveness till the end of the 1000 year reign if they prove worthy and reach perfection.
Many statements in the literature will say, forgiveness is 'possible' and lead a casual reader to believe they teach present forgiveness for Other Sheep.
As regards the Romans 6 passage. It is lifted from context by the WT to suggest that death erased a sinful record. This effectively negates the whole doctrine of Christ ransom. In context the author is, through an admittedly convoluted means, saying baptism into Christ's death meant becoming a slave of Christ, but also dead to sin. In this way by baptism, which is equated to death, frees from sin. In contrast those who are slaves of 'Sin' get only death as a 'wage' and are only freed from its mastery by dying.
As has been said the whole concept of the resurrection as a instrument of justice, requires some sort of post-death-judgment. This is clearly stated in John and Rev.