Question: Are Cocteau Twins and Fightstar both rock bands?

Context paragraphs:
Stars and Topsoil: Stars and Topsoil – A Collection (1982–1990) is a compilation album by the Scottish band Cocteau Twins, released on the 4AD label in October 2000.  The album featured tracks released during the group's time on 4AD between 1982 and 1990, covering every Cocteau Twins album from "Garlands" through "Heaven or Las Vegas".  The collection peaked at No. 63 on the UK Albums Chart.

Beautiful Noise (film): Beautiful Noise is a 2014 American music documentary film, written and directed by Eric Green.  The film documents three rock bands—Cocteau Twins, The Jesus and Mary Chain, and My Bloody Valentine—and their influence on shoegazing and other alternative rock genres.  "Beautiful Noise" features extracts from over 50 interviews with bands and artists, as well as archival footage and music videos.

The Moon and the Melodies: The Moon and the Melodies was an album resulting from the collaboration of the Scottish group Cocteau Twins and the American composer Harold Budd.  It was released by 4AD in November 1986.  The name "Cocteau Twins" did not appear on the release, which instead credited the band's three members (Elizabeth Fraser, Robin Guthrie and Simon Raymonde) and Budd individually.  The album's heavily treated guitar sounds and euphoric vocalising could be heard in the group's other work from the same period, such as the EP "Echoes in a Shallow Bay" and the album "Victorialand".  Budd's stylistic piano tonalities and phrasing on this project were echoed in his solo album "Lovely Thunder", released in the same year.  A version of the track "Memory Gongs" was released on "Lovely Thunder" as "Flowered Knife Shadows" and was dedicated to Raymonde.

Lullabies to Violaine: Lullabies to Violaine is a Cocteau Twins boxset released by 4AD Records in October 2005.  Comprising four CDs, the boxset collects the tracks from every Cocteau Twins EP from "Lullabies" to "Violaine".  It was also released as two separate double CD packs.

The Box Set (Cocteau Twins): The Box Set (also known as Cocteau Twins Singles Collection ) is a 1991 collection of EPs by the Scottish band Cocteau Twins.  It collects their non-album releases up until that time.  It also contains a bonus disc including songs from throughout their history which have not been otherwise released on Cocteau Twins releases.

It'll End in Tears: It'll End in Tears is the first album released by 4AD collective This Mortal Coil, an umbrella title for a loose grouping of guest musicians and vocalists brought together by label boss Ivo Watts-Russell.  The album was released on 1 October 1984, and reached #38 on the UK Albums Chart.  It features many of the artists on the 4AD roster at the time, including Cocteau Twins, Colourbox, and Dead Can Dance; as well as key post-punk figure Howard Devoto, who sang "Holocaust", one of two covers of songs from the "Third/Sister Lovers" album by Big Star.  The other Alex Chilton-penned track, album opener "Kangaroo", was released as a single to promote the album.  Two key songs were performed by Elizabeth Fraser of Cocteau Twins, including Tim Buckley's "Song to the Siren", which reached #66 on the UK Charts when released as This Mortal Coil's debut single a year before the album.  The song remained on the UK Indie Chart for almost two years.  Fraser also performed on "Another Day" by Roy Harper.  4AD would go on to release two further albums under the name of This Mortal Coil: "Filigree & Shadow" (1986) and "Blood" (1991).

Will Heggie: Will Heggie is a Scottish musician.  He co-founded the Cocteau Twins in 1980 with Robin Guthrie, and served as the bassist for them until 1983.  Immediately after departing the Cocteau Twins, he helped form Lowlife and played bass with them from 1983–1997.

Pearly-Dewdrops' Drops: "Pearly-Dewdrops' Drops" is a single by Scottish post-punk band Cocteau Twins, taken from their 1984 EP "The Spangle Maker".  The song was written by Cocteau Twins, and recorded at Rooster Studios in London.  It was their highest-charting single, peaking at No. 29 on the UK Singles Chart and No. 1 on the UK Indie Chart.

Fightstar: Fightstar are a British rock band from London that formed in 2003.  The band is composed of lead vocalist, guitarist and keyboardist Charlie Simpson, guitarist and co-vocalist Alex Westaway, bassist Dan Haigh and drummer Omar Abidi.  Generally considered a post-hardcore band, Fightstar are known to incorporate metal, alternative rock and other genres into their sound.  During the band's early days, they were viewed sceptically by critics because of Simpson's former pop career with Busted.  Their live shows got a more positive reaction, and their 2005 debut EP, "They Liked You Better When You Were Dead", was a critical success.

Cocteau Twins: Cocteau Twins were a Scottish rock band active from 1979 to 1997.  The original members were singer Elizabeth Fraser, guitarist Robin Guthrie, and bassist Will Heggie, who was replaced by multi-instrumentalist Simon Raymonde in 1983.  The group has earned much critical praise for its distinctive ethereal sound and the distinctive soprano vocals of Fraser, which often abandoned recognizable language altogether.  They were associated with the UK label 4AD for much of their career.

Supporting paragraphs: Cocteau Twins Fightstar
Answer: yes