if i had to guess why they switched the order of abandoned station and two wheels within the episode, it would be for the juxtaposition of what matoba says his motivation is for coming to the station alone with what matoba does at hakozaki's mansion that completely contradicts it. abandoned station actually bookends two wheels, with the part that's to be directly compared saved for the end of the episode only after we've seen the entirety of two wheels.
like in the episode it goes 1) matoba, alone, gets one youkai (big rainy day guy) to eat another youkai (hitokubi) at the station, 2) on a later occasion, matoba nonchalantly gets one youkai (eye-eater) to eat another youkai (the shadow doll) at hakozaki's mansion in front of several members of his clan, 3) natsume says in voiceover how uneasy it makes him to see the matoba clan use the eye-eater for their own ends, 4) natsume flashes back to the end of the abandoned station encounter, which we are seeing for the first time, in which he asked matoba if he came alone to avoid putting his clan in danger, and matoba responded that he just didn't want them to see him taking the easy way out.
only a few seconds elapse for the viewer in between 3 and 4. we're meant to see that matoba was clearly lying about only coming alone so his clan wouldn't see him take the easy way out; we (and natsume) now know, thanks to two wheels, that he has no compunctions about doing the exact same thing in front of them.