With my style of play I've often found that when I've got loads of logs (initial "clearcut around where I'm building/ditching my defences, want to safely dig into the soil beneath or wish to put down surface fields" effort, which any passing elf would probably have a tantrum over) my two(ish) woodcutters tend to produce far too many logs for the ~3 haul-for-now guys to quickly stow, with food dewagonning marginally faster but that's without continuous creation of new items every few ticks.
Later on, though, it hecomes seriously far too much stone to haul as 2-4 miners (in a healthy fort of dozens) are just slicing through the strata (down and/sideways) and idleness is discoraged in the rest as there's always some stone or ore that should ideally be relocated in a given stockpile.
But it's hard to say if a (say) mass bed-making effort is subsequently transported to an end/intermediate location more or less efficiently than the other things. Light-weight trade baubles tend to move quickly, but usually there's proximity of workshop and trade-worthiness stickpile locale which probably adjusts both priority and delivery standards to blink-and-you-miss-it levels of fulfillment.
Given the multiple variables, I'm not sure it's easy to analyse from an overview. But if I really want a clump of felled trees relocating, stones removed from a soon-to-be magmaduct, a whole lot of items moved from a now-defunct temporary stockpile to (near) the repositioned sorted stockpile areas, etc, then I switch to area-targetted Dumping, flash every not-otherwise-vital dorf over to pure Refuse Handling (cheers, DwarfTherapist!) and watch my anthill busily and quickly route everything of specific concern onto the target waypoint as quickly as I please (mostly - not always useful in the face of a Tide Of Darkness). That seems to do things quicker than (even with copious wheelbarrows) rededicating everyone to <Foo> Hauling and negatively marking all unimportant <Foo> as forbidden for the duration.
(Even quicker would be using DFHack to... autodump, is it? ...and skip the need to get the little bearded ones involved at all as you dip in and out of the inventory list as needed between placing pop-up quantum dumps appropriately for each selection. But that's beyond my usual level of "adjusting the gameplay", while dwarf-powered dumping-chains falls well within my morality threshhold.)
Not that this 'answers' the question you ask, but it's my experience and practices, for what it's worth.