Maersk are entering into block-chain "distributed ledger technology" with IBM and similar modern solutions. But one article put $300 of every $2,000 of shipping costs for administration and paperwork[0].
I think you're right, there is a massive advantage to be had, and companies are chasing that advantage. But from my (tangential logistics) background, even the biggest shipping companies have the usual range of legacy systems, heavy administration overhead, plenty of paperwork, excel-based-tools and huge integration headaches.
0 - https://www.supplychaindigital.com/technology-4/maersk-and-i...