Do you think Ukraine’s Kursk adventure achieved its intended effect?
The intended effects of the Kursk were unobtainable outcomes dreamt up by politicians rather than any solid military gains, the best case scenario was to buy the east more time.
We see a few things in action, first Ukraine overran poorly trained and equipped troops that were unprepared and also caught Russian reinforcements traveling in column on the road behind the front line. Not great for Russia but apart from the first couple days there really hasn't been much Ukraine propaganda coming from Kursk so that'd suggest that they are not achieving the same level of success, ie the Russians are acting competently enough.
Secondly, in order to make rapid gains Ukraine decided to move by the limited road network by day and while this worked at the start, Russia has been making the most of it since at least the third day of the offensive if not the second. Ukraine has lost valuable artillery/HIMARS and air defence systems bringing them up to the front to cover their ground forces.
Another part of that was the heavy use of DRG/saboteur units (basically four dudes in a car, possibly multiple cars) to spread confusion and set up ambushes (we seen similar uses in Kherson and Lyman offensives), however in this case Russia responded in kind and we saw widespread small scale skirmishing and ambushing that looks to have favoured the Russians as they didn't have the initial forces that Ukraine did and such fights limited the fire-power/man power advantage of the Ukrainians.
Thirdly, the Ukrainian creation of a Kampfgruppe, Ukraine stripped multiple brigades of units and equipment to form the force they needed for the offensive, this is not a positive development and came about due to a lack of trained personal and equipment, some of the units in Kursk were taken straight from the Donbas region without time to rest and sent to open a new front. We also know that Ukraine has sent most of it's experienced drone operators to Kursk leaving other regions without support.
In order to stabilise the front at Pokrovsk Ukraine has pulled units from other parts of the eastern front which is now losing ground to Russia, they need to shorten their line and somehow rotate troops off the line, at this point Ukraine needs a ceasefire to reorganise and train/integrate troops.
What this means for Russia? Not a great deal to be honest, they want to pin/destroy Ukrainian combat formations and which side of the boarder that happens on is irrelevant. Now that those forces are engaged they will not be able to break contact as Russia can simply push into northern Ukraine behind them to keep them from being deployed elsewhere while at the same time benefiting from shortened delivery time from things like FABs.