I noticed that Krieg the Psycho has a skill that increases Fire Rate (Embrace the Pain), on the Mania skill tree (which focuses on improving the Buzz Axe Rampage action skill). Embrace the Pain increases Fire Rate when the shields are down. I am wondering if the Buzz Axe Rampage attack speed (both melee and when throwing the axe) is also increased by the Embrace the Pain skill and other skills that increase Fire Rate. What about the regular melee attack (V, by default on the PC) by all the playable characters (including Krieg, when non-Buzz Axe Rampaging)?
And what about items (e.g. class mods or relics) that increase Fire Rate? Will they also affect normal melee attack speed or the Buzz Axe Rampage skill attack speed (both melee and when the axe is thrown)?