It looks like the same ATC person lined up the southwest plane to take off and the private jet to land at the same time. Then realised and aborted at the last minute. Is that right?
The ATC should not have moved the south west plane onto the runway before the private jet landed. Correct?
(Edit: atrocious spelling)
In the EU / Canada this isn't allowed (landing clearance is only given if the runway is completely clear), but then the US pushes a lot more aircraft through its busy airspace this way. San Diego is a busy airport with just a single runway (due to the geography) near a couple of military bases and has a steep approach over the city - if there had been some ground fog like there often is at KSAN then this could have ended very differently.
Also, you can see in the video that due to the steep approach, the SWA was at the beginning of the runway, but the jet on approach would have landed further down, as the landing is offset there. This still would have be been dangerous but not a definite case of collision.
This may be true overall, but San Diego is barely top-25 in the US in passenger traffic.
And Heathrow is busier (even measuring per runway, since it has 2). And both Gatwick and Mumbai handle more flights on a single runway.
This is not uncommon for aircraft to get on the runway and take off while another aircraft is on final. If you want a good video of how this more typically works (and sometimes doesn't work), here's one from an incident at SFO about 2 months ago: https://www.youtube.com/watch?v=DrRGde5J8mo
And another from SFO: https://www.youtube.com/watch?v=E4cewwhcL5c
In both the SFO cases, they got the "go around" from ATC much earlier and no one got too close to each other. Keeping in mind that SFO is extremely busy and lands two parallel runways at the same time: https://www.youtube.com/watch?v=YsKhZm78DuY
Real error here was that SWA should have been told to hold short and then expedite as the SWA boys like to do after Citation was clear or to expedite from the getgo. Both would have worked just fine.
Also worth mentioning that while you can give landing clearance onto a runway that is not clear at the time, you still cannot have multiple aircraft on a given runway simultaneously, and there are very strict minimum separation requirements that vary depending on the airport which for KSAN is 5NM