Its not all that clear what Russia prefers to do with the population of Kharkiv. Getting closer to it would increase its ability to shell it with lower cost munitions which would presumably pressure inhabitants to start leaving again for safer locations.
But with Mariupol Russia seemed reluctant to let the population leave, though eventually they replaced some of the inhabitants via population transfer (I'm unclear on how large this transfer was but given the reported numbers I presume the majority of these were from Mariupol, maybe Melitopol)
― anvil, Saturday, 18 May 2024 17:50 (three weeks ago) link