Do you need Melee if running BSTF?

Edit: thanks for the advice all. I will likely drop the erradicators and one fortis team to pickup 15 melee vets.

I'm considering running a list without Melee Vets to see how hard I can punch with a few new kits I just built. Having finally picked up an Indomintor and Talonstrike killteam along with a Gladiator Lancer and Repulsor Ex, I feel like I have enough mobility and shooting to have a viable 2000 point list. ‐-------------------------- Guns...Lots of guns

Librarian in Phobos Armour (70pts): Bolt Pistol, Force Weapon, Smite Lieutenant (65pts): Pistol, Master-crafted Bolt Rifle & Melee Weapon, Close Combat Weapon, Bolt Pistol, Master-crafted Bolter Lieutenant (65pts): Pistol, Master-crafted Bolt Rifle & Melee Weapon, Close Combat Weapon, Bolt Pistol, Master-crafted Bolter Techmarine (55pts): Forge Bolter, Grav-pistol, Omnissian Power Axe, Servo-arm Watch Master (105pts): Vigil spear, Warlord

3x Eradicator Squad (100pts) 10x Fortis Kill Team (200pts) 10x Fortis Kill Team (200pts) 10x Indomitor Kill Team (270pts) 10x Spectrus Kill Team (200pts) 10x Talonstrike Kill Team (290pts) Gladiator Lancer (160pts): Armoured Hull, Lancer Laser Destroyer, Two fragstorm grenade launchers, 2x Fragstorm Grenade Launcher Repulsor Executioner (220pts): Armoured Hull, Heavy Onslaught Gatling Cannon, Icarus Rocket Pod, Ironhail Heavy Stubber, Repulsor Executioner Defensive Array, Twin Heavy Bolter, Twin Icarus Ironhail Heavy Stubber, Heavy Laser Destroyer