Not sure about which mix is used in which music video, but it is true there are two mixes.
Soundtrack version
Album version
You can notice the difference right at the beginning after the “boom boom boom clap”. The beats in the album version sound more aggresive while the soundtrack version is more tender. Not an expert in instrumentation, but there are definetely instruments that can be heard in the chorus of the album version that are not present in the soundtrack version as well.