Yes, I agree with this. That is the Catholic teaching: that the particular judgment occurs at the moment of death. However, the process of burning a house, which St. Paul used as a metaphor for Purgatory suggests a process of purification of certain duration. Despite that, the Church does not really teach that the purgatorial trial occurs in the time or space and therefore the measure of time cannot be really attached to it, even though in the popular imagination the Purgatory was spoken of in terms of a stay with a given duration.
To say that any change or cleansing is or can be done after someones death is no where supported by Scripture
It is supported exactly by the verses in focus, since it is not possible to reveal of what sort the work is until it is completed. I agree however, and more improtantly, I am sure the Church agrees, that the process of purgation cannot be separated from the death that preceded it and can indeed be viewed as an integral part of dying.
>>It is supported exactly by the verses in focus, since it is not possible to reveal of what sort the work is until it is completed.<<
I disagree. It says it will be revealed. Revealing is not cleansing. It is not purification. One does not get purified of anything other then through the shed blood of Jesus.