A non-volatile memory and methods include cached page copying using a minimum number of data latches for each memory cell. Multi-bit data is read in parallel from each memory cell of a group associated with a first word line. The read data is organized into multiple data-groups for shuttling out of the memory group-by-group according to a predetermined order for data-processing. Modified data are returned for updating the respective data group. The predetermined order is such that as more of the data groups are processed and available for programming, more of the higher programmed states are decodable. An adaptive full-sequence programming is performed concurrently with the processing. The programming copies the read data to another group of memory cells associated with a second word line, typically in a different erase block and preferably compensated for perturbative effects due to a word line adjacent the first word line.