Ukrainian populations seem very pleased to see Russian occupation troops ousted.
Even pro-Russian sources have to admit the tactical success of the Ukrainian offensive. For example, here's a couple of Russian milblogger Rybar's maps, showing the quick evolution of the situation today:
Note how the second shows Ukrainian forces have secured the Sen'kove bridge, are reaching the Horokhovatka bridge, and have reached the Kupyansk outskirts. I figure Ukraine will try to use the Oskil river as a natural border and will besiege Izyum and Kupyansk, while interdicting Russian reinforcement through the railroad. Kupyansk is an extremely important logistic hub, and Ukraine does not need to control the city so much as just keep its train station within its strike range.