Question: Were Louis XIV and Cocteau Twins both rock bands?

Context paragraphs:
The Age of Louis XIV: The Age of Louis XIV (""Le Siècle de Louis XIV"", also translated The Century of Louis XIV) is a historical work by the French historian, philosopher, and writer Voltaire, first published in 1751.  Through it, the French 17th century became identified with Louis XIV of France, who reigned from 1643 to 1715.

The Taking of Power by Louis XIV: The Taking of Power by Louis XIV (French: "La prise de pouvoir par Louis XIV" ), also called The Rise of Louis XIV, is a French television film by Italian film director Roberto Rossellini.  The film revolves around the French king Louis XIV's rise to power after the death of his powerful advisor, Cardinal Mazarin.  To achieve this political autonomy, Louis deals with his mother and the court nobles, all of whom makes the assumption that Mazarin's death will give them more power.

Louis XIV (band): Louis XIV is an American rock band from San Diego, California.  The band has released four EPs between 2003 and 2007, and three albums between 2003 and 2008, the latter two of which were distributed by Atlantic Records.  The band broke up in 2009, but in 2013, in an interview with The Reno Dispatch, Jason Hill confirmed that the band had decided to reunite.

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.

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.

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).

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.

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.

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.

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.

Supporting paragraphs: Louis XIV (band) Cocteau Twins
Answer: yes