I agree. The way it was edited made it appear unrelated. I believe it was written into the script to slide the bus, but seems arbitrary to write that in.
Also interesting, that same bus skid stunt was used in several other action movies in the mid-late 80s. I cant recall specific films but I think they did it in 48 hours and Red Heat, Lethal Weapon, and a few others too. Like it was a thing or something: 'we perfected this cool new stunt so now we need to put it in every movie' lol
Now that I think about it, I guess its a thing in every era that producers overuse new stunts they are proud of. I remember in the 70s there was a trend of jumping cars over stuff. Seems every 70s movie and tv show had a scene where a bridge was out and the car just jumped over it lol