Probably the challenging thing is to define “Wild West”.
Competition was intense - by 1900, the UK had a couple of hundred train companies, many in parallel competition with competing lines, sometimes competing stations in the cities too. 20 years could easily be the equivalent of 5 or 10 years of computing in the 1980s or 1990s. We'd immediately pick up similar anachronisms in halt and catch fire, or the latest hacker movie. Or loads of 1940s or 1970s cars in a movie set in the 60s.
As a European, train emoji just look odd for being wild west, as they're so unlike the common European designs (mainly from the cow catcher and silly funnel shape).
It's not so much the fact that the technology was wildly obsolete as it is the fact that there are distinct visual styles that are localized to particular places in certain eras. If you know what those are, seeing people get it wrong can be quite jarring. Imagine a scene supposedly set in Ancient Rome where one character shows up in Prussian court dress.
https://en.wikipedia.org/wiki/American_system_of_manufacturi...
It's the form of the Central Pacific Jupiter¹, famous for being the western locomotive at the completion of the First Transcontinental Railroad.