Question: Were both Porno for Pyros and The Sugarcubes formed following the break-up of Jane's Addiction?

Context articles: Deconstruction (Deconstruction album)
Unshattered
The Sugarcubes
Perry Farrell
Porno for Pyros (album)
Anytime at All
Pets (song)
Porno for Pyros
Banyan (album)
Deconstruction (band)

Deconstruction is the only record released by the band of the same name, consisting of guitarist Dave Navarro and bassist Eric Avery from Jane's Addiction, plus drummer Michael Murphy.
 They wrote the album soon after splitting from Jane's Addiction, the other half of which went on to form Porno for Pyros at the same time.
 The executive producer was Rick Rubin.
Unshattered is the seventh solo studio album by English musician Peter Murphy.
 It was released on 19 October 2004, through Viastar Records.
 Produced by Gardner Cole, the album features contributions from various musicians, including Jane's Addiction members Stephen Perkins and Eric Avery, Porno for Pyros guitarist Peter DiStefano, former Bauhaus drummer Kevin Haskins and Canadian composer Ned Bouhalassa.
The Sugarcubes (Icelandic: Sykurmolarnir) were an Icelandic alternative rock band from Reykjavík formed in 1986 and disbanded in 1992.
 For most of their career, the band consisted of Björk (vocals, keyboards), Einar Örn Benediktsson (vocals, trumpet), Þór Eldon (guitar), Bragi Ólafsson (bass), Margrét "Magga" Örnólfsdóttir (keyboards) and Sigtryggur Baldursson (drums).
 Lead singer Björk would later become an internationally successful solo musician and the best selling Icelandic musician of all time.
Perry Farrell (born Peretz Bernstein; March 29, 1959) is an American singer-songwriter and musician, best known as the frontman for the alternative rock band Jane's Addiction.
 Farrell created the touring festival Lollapalooza as a farewell tour for Jane's Addiction in 1991; it has since evolved into an annual destination festival.
 Farrell continues to produce Lollapalooza with partners William Morris Agency and C3.
 Farrell has also led the alternative rock groups Porno for Pyros and Satellite Party.
 He is the only person who has performed at all twelve Coachella Valley Music and Arts Festivals to date, having appeared under five different names (Perry Farrell, Jane's Addiction, DJ Peretz, Satellite Party, and with Hybrid).
Porno for Pyros is the eponymous debut album by Porno for Pyros, released on April 27, 1993 on the same label as Jane's Addiction, Warner Bros.
 Records.
 Jane's Addiction guitarist Dave Navarro and bassist Eric Avery, battling substance abuse issues, had left the band in 1991 in an attempt to stay clean, though the other half of the band wished to continue creating music.
 The remaining members of Jane's Addiction, Perry Farrell and Stephen Perkins, were joined by guitarist Peter DiStefano and future Jane's Addiction bassist Martyn LeNoble, and continued under the new band name Porno for Pyros.
 The band (and album) name is a reference to the 1992 Los Angeles riots, which are mentioned throughout the songs on the album as a recurring theme.
Anytime at All is the second album from Banyan, founded by Stephen Perkins of Jane's Addiction and Porno for Pyros fame, and David Turin.
 This is a unique record in that it features nearly two dozens players, half of which are well-known.
 Like their first album, this one is dedicated to Stephen's deceased brother, Marc Perkins.
 This is a much more upbeat and organic sounding disc than the previous work, and the songs are much more varied.
"Pets" is a song by alternative rock band Porno for Pyros and the second single from their 1993 self-titled album, "Porno for Pyros".
 The Cursed Female / Cursed Male" single preceded "Pets," but saw only a limited radio station and promotional release, making "Pets" the first widely available commercial single from the album.
Porno for Pyros were an American alternative rock band formed in Los Angeles, California in 1992, following the break-up of Jane's Addiction.
 The band comprised former Jane's Addiction members Perry Farrell (vocals) and Stephen Perkins (drums), and Peter DiStefano (guitar) and Martyn LeNoble (bass).
Banyan is the debut album from Banyan, founded by Stephen Perkins of Jane's Addiction and Porno for Pyros fame, and David Turin.
 This record is dedicated to Marc Perkins.
 "They are compared to a deeply rooted Banyan tree which is ever increasing its hold on earth."
Deconstruction was a band formed by former Jane's Addiction members, guitarist Dave Navarro and bassist Eric Avery.
 Originally their former Jane's Addiction bandmate drummer Stephen Perkins was slated to be Deconstruction's drummer but instead joined Jane's Addiction frontman Perry Farrell's new band Porno for Pyros.
 Drummer Michael Murphey was instead recruited for percussion duties.