The challenge is maintaining the multiple independent systems when faced with pressures like "hey, if we consolidated systems, the the % of waiting list patients who die within 6 months of enrolling goes from 8% to 4%, and the % who receive a transplant go from 60% to 65%".
The UK system undoubtedly had a bad outcome, but the reasoning behind consolidation was sound, and the benefits real and ACTUALLY achieved (just not dispersed justly). Maintaining independent systems would mitigate against some of these failures, but would long-term be out performed by a responsive consolidated system (which I think is ultimately what the article is arguing for - not against algorithms, but against black-box algorithms that are not responsive or amendable to public scrutiny and feedback).
There are definitely times and places with independent implementations provide a strong benefits, but I think this is a much more borderline scenario.
And btw, the US has a unified organ matching system.