Sorry for some long pausing to talk with chat and do some theorycrafting.
Ricochet start feels more consistent through Tartarus and Asphodel, and still plays pretty well through Elysium. Hazard Bomb sort of fulfills both of the roles of Cluster & Rocket slightly slower but I don't think the difference is significant unless you're getting full value out of all 5 rockets on every shot.
Breaking Wave would have saved approximately equal time in Styx compared to Clockets. Real time saves in this run would just be RNG for more fountains and a later Thanatos chamber, plus not missing Elysium mid-shop for Patroclus. Sub 7 is obviously possible, but that RNG grind seems stressful. Might be 20 seconds to save in just running God's Legacy for Heart Rend, combine it all together into the perfect run and maybe sub 6:30 could happen. Won't be me.