This is not necessarily the case, it depends on how contagious the disease is. The UK managed to vaccinate approximately 700-900K people per day during the rec

This is not necessarily the case, it depends on how contagious the disease is. The UK managed to vaccinate approximately 700-900K people per day during the recent drive. During the same time period we had approximately 200,000 confirmed cases (via test) per day. The general consensus is that the real number of infections approached 1 million. It's not impossible to imagine that if the R rate were a bit higher the virus could spread faster. You do have the issue that it won't reach people locked indoors, but then again vaccination doesn't reach all people either.