adjusted retention time is the time a species spends in the stationary phase. its the total time it takes the species to elute minus the time it takes for an unretained species to elute.

corrected retention data accounts for the change in pressure from the head of the column to the rest of the column. does anyone know why corrected data is of less interest today?

I think it's because most of the qualitative data we use depends upon the retention time and not the corrected retention time.