I'm not sure it's fair to use "% of population vaccinated" as a proxy for "vaccine distribution planning and performance", as not all countries have equal access to the vaccine. That is, US companies offered doses to the US government first, then additional doses to other countries as available. I don't know for sure, but I suspect the UK company did the same for UK.
"% of vaccines obtained that have been distributed" isn't a great barometer either. As an absurd example, a fictional country that was only able to obtain two doses and managed to administer them may or may not have had a reasonable plan, but we couldn't know from info provided.
Outside of reading the actual plans and making a subjective judgment, I'm not sure there's a good method to judge those plans, and even that doesn't help with judging performance on executing the plans.