These are 2 of order flows that needs product shipping and inventory updates, could someone tell us the differences?

Make-To-Order: Invetory--->manufacture-->Assemble-->Shipment
Assemble-To-Order: manufacture-->Invetory--->-Assembly-->Shipment

Below is what I understand as one the prime differences:

** Assemble to order: bills and routings are available or already defined in the system before the assembly is ordered to manufacture.

** Make to order: Manufacturing bills and routings will have to be defined (not already in the system) as per the custom order requirements and then the production is performed as per the order.