Perhaps not. Having leaves, fruit, and green wood mixed in with the old wood (having "greens" and "browns") helps feed a far more diverse array of soil microoganisms and also supplies a more complete range of plant nutrients than older ripe/heartwood mulch.
To clarify, as a landscape product, logs produce more uniform chips.
As a tree care mulch, I'm a big proponent of tree chips, with wood, bark, flowers, seeds, fines...
Rakings and stringy stuff are often less desirable where aesthetics and workability are considerations.
I infrequently haul mulch off-site, or far, fwiw (some no-cleanup work, occasional brush trailer to dump).
After pontificating the benefits of mulch for trees, then following up with offering to charge to blow chips in my chip truck and haul off, or leave the customers exactly the material they need and already own...
Very rarely, we spread mulch as a service.
I have customers whose rolling recycle and yard waste bins catch the bulk of pruning chips, with the rest going into a pile. The customers roll to where they need mulch, pre-filled.