This is what capitalism is in its essence - a complex decentralised pricing mechanism where every human's choices is taken into account on the free market. The problem is that it has been corrupted by cronyism which has indirectly destroyed the human element of it (through centralisation and the formation of unnatural state-sanctioned monopolies and rent-seekers) and instead, as you put it, abstracted people into numbers.
I don't think anyone actually wants to be treated as a number, and I strongly believe that personal and bespoke service is a quality that most people seek in the services they choose (especially medical and caregiving services). These preferences would normally provide strong competitive pressures. However, in the medical field at least, enormous barriers of entry (largely instituted and enforced by the state) has fortified incumbent corporations and removed the competitive pressure that startups and newcomers would provide. Just look at medical education/licensing and the enormous costs involved.