My take is that eventually Ukraine will withdraw to more defendable positions but still in the Kursk Oblast.
They will withdraw refit and rest their main offensive units like 80th / 82nd Air Assault. In doing so they will send a message to Putin.. the message simply saying that Ukraine at a time and place of their choosing can mount another offensive into Russia.
Rinse and repeat. Ukraine is now dictating the play.
100% a factor.
Russian Volunteer Corps and Freedom of Russia Legion have been in & out of Belograd Oblast for ages & then in March starting “raiding” into Kursk. People have called it raiding but if we go off Soviet Doctrine I’d argue now it looks like Recce by Force, so they’ve been planning this for a while.
Brings them closer to key positions in Russia now for strikes, it pulls Russian units away from the front (Russian 155th Marine were apparently in Kharkiv & have been pulled)
Also, if the Ukrainians can get a hold in Kursk itself, theyve then made Russian logistics into Belograd & Kharkiv far more difficult. The E105 is the main route, runs south east from Kursk to Belograd.
Theres 3 strategic ideas behind the move + there could be far more, which only the Ukrainians know