They teach the same regarding the person of Jesus Christ. They do not teach the same regarding the work of Jesus Christ. Catholic theology does not teach that the work of Jesus accomplished everything regarding our salvation.
Theoretically, the work of Christ is superfluous, since the Roman church claims the authority to open the "treasury of merit" and dispense the righteousness of Christ and the saints as indulgences:
An indulgence is obtained through the Church who, by virtue of the power of binding and loosing granted her by Christ Jesus, intervenes in favor of individual Christians and opens for them the treasury of the merits of Christ and the saints to obtain from the Father of mercies the remission of the temporal punishments due for their sins. (Catechism of the Catholic Church 1478).
If one requires the authority of the Church to grant righteousness to remit temporal punishments, then Christ's own merits are insufficient. Depending on how much extra merit that the sinless Mary and the saints have stored up, then maybe Christ isn't even
necessary to save someone. And the merits of Mary alone would seem to be pretty close to infinite: "This treasury includes as well the prayers and good works of the Blessed Virgin Mary. They are truly immense, unfathomable, and even pristine in their value before God" (
CCC 1477).
Of course, that's just a falsehood. No mere human being has superfluous merit. Everyone, Christ himself excepted, was a sinner. The saints didn't have enough righteousness of their own to save themselves, let alone give it to someone else.