It wouldn't really be cumulative.
If a DSP process creates/adds frequencies higher than 1/2 the frequency the processing is performed at, the stuff that's greater than 1/2 the sampling frequency will alias down into the audible range and sound nasty.
A given process only needs to be oversampled to the point at which those high frequencies are low enough in level that they will be inaudible. Given a reasonable margin for error, more than that is not any "better" in the real world, because once something is already inaudible, it's inaudible.
However people who have had their minds turned to mush by reading too much audio marketing material will argue that if it
were audible then it would be better, so therefore it's "better", even if it's not, you know, audible.