Because $company is only one of a number of competitors and none of them is going to let
one of them handle the pot.
And because there's distribution but also only a small number of semi-trusted peers, a "blockchain" would be efficient as it wouldn't have to be a proof of work, it would only need to be a signed "public" ledger (public in the sense that all companies can access and add to it). Don't think bitcoin, think a git repo with a bunch of committer signing all their commits.