Consume is pretty stupid on this subject. It is autohit, so you always get the end drain resist, but then the damage, end recovery, and +Recovery do an invisible ToHit check before they can actually take effect. So it does benefit from accuracy.
Personally I three-slot Consume, with 50+5 Acc/EndMod/Rech Perf Shifter, 50+5 EndMod/Rech Perf Shifter, and 50+5 EndMod/Rech Efficacy Adaptor. A fourth slot with an Acc/EndMod/Recharge Efficacy Adaptor wouldn’t be the worst thing if you could swing it. The end drain resistance is enhanceable and doesn’t stack from hitting multiple targets, so you do want to slot it for End Mod.