Among Bring Me the Horizon's earliest influences were bands like At the Gates, Carcass, Pantera, Metallica, The Dillinger Escape Plan, Every Time I Die, Norma Jean, Skycamefalling and Poison the Well; and genres death metal, grindcore, and emo have been cited by AllMusic writer Steward Mason. However, as their sound developed, the band started to take influences from progressive rock, post-rock, dubstep and electronica. The band's musical style has been described mainly as metalcore and - though they have since moved on from the genre - their early material was considered deathcore. Across their career the band has also been said to play within the genres post-hardcore, hardcore punk, technical metal, heavy metal, and emo.  Bring Me the Horizon have attempted to grow and change with each album, believing they should be different. Raziq Rauf, writing for Drowned In Sound, described Count Your Blessings as possessing "Norma Jean-style thunderous riffs mixed with some dastardly sludgy doom moments and more breakdowns than your dad's old Nissan Sunny." Metal Hammer described Suicide Season as a "creative, critical and commercial success" for the band as they started to adopt a more eclectic style, with its "crushingly heavy party deathcore". Leading up to its release Oliver Sykes described it as "100% different to Count Your Blessings" and noted the album sounds "more rock than metal". As time went by, Bring Me the Horizon began rejecting their debut album Count Your Blessings and considered Suicide Season as their "Year Zero[...] [their] wipe-the-slate-clean time".  Bring Me the Horizon then moved even further away from deathcore with their third album There Is a Hell, which incorporated electronica, classical music and pop music into their metalcore style. This required more ambitious production feats, such as using a full choir, a synthesised orchestra and glitched out vocals and breakdowns that were also toned down, favouring quiet atmospheric passages in song breaks. For the writing of Sempiternal, the band pooled far broader influences such as post-rock acts like This Will Destroy You and Explosions In The Sky and from pop music.  Bring Me the Horizon has experimented with its music in recent years, mixing pop with metal music, leading the band to be labeled a "pop metal" act. With the release of That's the Spirit, their sound shifted towards alternative metal and alternative rock, also incorporated other genres such as pop rock and nu metal, while completely abandoning the metalcore sound of their earlier albums.

Answer this question "Have they always had the same musical style and influences?" by extracting the answer from the text above.
However, as their sound developed, the band started to take influences from progressive rock, post-rock, dubstep and electronica.