Weren't they going to try hot staging on the last flight?
All they managed was hot demolition of everything...
They were going to try a crazy "flip toss" maneuver where the whole stack would pitch down then up and "fling" the upper stage clear.
In both cases, the aim is to keep the booster engines running during stage separation. The reason is complicated but interesting:
As the engines drain the tanks, the empty space has to stay pressurised in order to keep the vehicle rigid and the engines fed. For most rockets, this "ullage" pressure is provided by a dedicated supply of compressed helium. This is ok on a smaller rocket, but helium is not super cheap and supply is limited. For the flight rate that Starship
requires to do its thing, the cost would be prohibitive. So instead they use the less common technique of "autogenous presurisation" which taps off some hot fuel and hot oxidiser gas rom the engine while it's running. You can only do this with certain kinds of engine, but the Shuttle did it and so does SLS.
So what you have is fuel/oxidiser tanks with super cold liquid at the bottom and hot high pressure gas being added at the top. That gas cools and condenses on the surface of the liquid, so you have to keep adding it to compensate. That's fine, because the engines have got more than enough hot gas to spare. But when you turn the engines off two things happen: 1. You lose your hot gas supply. 2. The liquids slosh around separating into free-floating globs and spray. This massively increases the liquid's surface area and so massively increases the rate of condensation. All the hot gas condenses out rapidly and pressure drops to essentially zero in a process called "ullage collapse." The booster is fine because it's in space and there's no air pressure to crush it. But now you need to turn the engines on to fly home and land. So you need to have stored a whole bunch of hot gas to repressurise. That gas and its tanks weigh a considerable amount.
If however you can keep the engines running and the booster accelerating, then all that liquid stays where it belongs at the bottom of the tanks, you don't get ullage collapse, and you can steer straight into your fly-home maneuver, saving all that weight and systems complexity. The plan on the first flight was to start that fly-home turn and separate the ship part way into it. The rotation would allow enough distance for the ship to light its engines (which would actually help "blow" the booster around in its turn). After the separation failure on that flight, they changed the plan. The new plan is to just keep flying forwards and light the ship while it's still attached, with vents at the interstage to let the exhaust out. Still "sporty" compared to regular staging, but it's at least something that other rockets have been doing for decades.