[2] Laut.de's Toni Hennig said The Hyperion Machine breaks with Rome's last few records by not being a historically themed concept album, but it addresses some of the same subjects.

[1] Marco De Baptistis of Ondarock [it] described the historical and literary references—which include Louis-Ferdinand Céline and the novel Hyperion by Friedrich Hölderlin—as romantic, ghostly and hallucinatory.

[2] Hennig described the album as musically divided in two halves, where the first has simple arrangements and the second is "more exciting" and uses ambient techniques.

The critic said the neofolk on The Hyperion Machine has some similarities to Thåström's music, as well as to Leonard Cohen, Nick Cave and the "late industrial blues" of Einstürzende Neubauten.

[4] De Baptistis wrote that the album combines Rome's later influences from Jacques Brel and Léo Ferré with the martial industrial elements of the band's early releases.