I don't have any info on this 'shady non-democratic practice', but the reasons I have seen for other countries getting vaccines earlier is that they committed funds to build up capacity earlier while the EU haggled on price and liability law.
I am grateful for vaccine manufacturers for working around the clock to develop, demontrate validity of and manufacture, at cost, millions of doses. Scapegoating them seems misguided to me.
If you have some evidence for this shadiness, can you share it?