Actual division separates a thing into parts. Imagined division considers its parts mentally, while postulated division assigns boundaries as a supposition without performing a cut.
An indivisible-atom thesis may deny further division in all these senses. A continuity thesis can allow further conceived or potential subdivision without affirming already-existing discrete atoms.
Consequently, “Can this be physically split?” and “Can two regions still be conceptually distinguished?” are not identical questions.