Regulator not delivering enough air

I have done the bucket test, sort of.... It starts to free flow before the mouth piece is in the water, I didn't measure how deep that was though

 

Nope, all original hoses

 

My dives are mostly easy low exertion dives, I'm a relatively competent diver with reasonable air consumption (usually end the dive with more air than most divers around me). I don't think I'm an anxious diver, I'm very comfortable in the water overall.

So I don't see any reason that my demands are high and I know that the regulator is delivering enough air to keep me alive regardless of how hard I have to fin but it feels like smy lungs can take more air than what I am getting out of the regulator even when taking long slow breaths.

 

Unless specifically instructed by the owner (some tech guys don't want anyone tuning their regs, new ones especially), every reg I sell gets assembled and bench tested before it gets shipped. When servicing my usual practice is bench test and then take them to the pool for an hour or so to break them in a little more. Adds a day or two to the turnaround but no one has elected to have me not do that, since there is no extra charge for the service.
Most manufacturers recommend the shop check new regs and test them before handing them over to a customer. Never assume from the factory they are right.