It actually will, considering a giant 3rd wave is starting in many of these countries. I saw some rough french analysis that stated that for every 100k doses that are delayed for a day, it will cost 15 lives.
Germany for example has nearly 2 million doses they are delaying, so that's ~300 deaths per day that are caused by these delays. If you delay by a fortnight that's more deaths than on 9/11.