I don't consider this a too bad idea, although I see some difficulties. The concept reminds me of Daniel Suárez's novels "Daemon" and "Freedom"
And also of some anarchist software experiments.
You tell the blockchain what you want and what you have to offer. Volunteers will tell blockchain where the resources are.
So say in Africa a man submits he would like to fish all day. Another man wants to ride his bike. Another family wants to eat fish for dinner. The computer links up all three, so that the extra fish the first man caught, will be driven by bike to the family.
I'm interested in "smart property" systems which would allow everybody to "pre-sell" goods or services issuing a singleton (NFT-like) token for it. This comes already pretty close to your idea, although it still uses a currency. The big problem is obviously scalability, but there is
OmniBOLT, which would allow this kind of application perhaps even on the Bitcoin blockchain using the Lightning Network.
One big issue however is trust. But there could be trusted organizations "known by name" reviewing each token issuer. The question is then obviously - why wouldn't they run a centralized network instead? However, a blockchain could offer advantages, like common standards for several of these trusted entities, and generally a higher trust level and even maybe lesser costs because the service providers would also run nodes on the blockchain.
You could have different matching algorithms that are competing just like crypto currencies today.
I guess these "matching algorithms" would be something like currencies, only perhaps with more complex rules. If you have a smart property system with non-fungible tokens that represent goods, you could specify in each of them the rules to be followed, and the most popular would win. However you would need a base currency for the blockchain, at least for mining or validation - because on a "coinless blockchain" I don't see a way how it could be achieved to create incentives for honest validations, to stop 51% attacks. Bitcoin would be obviously a good choice.
After time the computer would play a bigger and bigger role, until decentralized anarcho communism could be achieved. Maybe after fighting off the governments first.
Yeah, this is almost textually what Daniel Suárez's novels are about
PS: I wonder if we can start a serious discussion here or it becomes simply another spam megathread