Welcome to the forum.
"Wiring" in link #2 in my signature for best practices (turn phone sideways).
8S2P describes two 8S batteries in parallel, each with their own BMS. By your description, you meant, 2P8S meaning you have 8 cell groups comprised of 2 parallel cells each and one BMS.
Your 560Ah battery is limited by the current your BMS allows. Splitting the battery into 2X 8S batteries paralleled at the main terminals would double your current allowance and permit operational redundancy should a single cell fail. If a single cell fails in a 2P8S configuration, the whole cell group gets taken down. Assuming you catch it in time and the cell-mate doesn't get damaged, you're offline until you remove the offending cell and reconfigure for an 8S battery with 7 unused cells.
You can "safely" parallel as many as you like, but the BMS stays the limiting factor, and if ONE cell fails, now you have 3, 4 or 5, etc., cells being taken down by the offender.
If you want redundancy and the potential for higher current output, separate 8S batteries each with their own BMS is the more optimal solution. It also carries less risk for a single cell failure.