A priest’s hands are anointed; however a deacon’s hands are not. Deacon’s are, and always have been, ordinary ministers of the Eucharist since they have received the sacrament of Holy Orders. So, given this, the anointing of the priests hands is really irrelevant in this context.
For what it’s worth, and meaning no disrespect to those who choose to receive communion on the tongue (as is of course their absolute right), I’ve always thought that receiving on the hand ties in nicely with the expression “work of human hands”. Besides this, in prayer man is a beggar before God and so, in the mass - the highest form of prayer- we are, in a sense “begging” for our daily bread and adopting the posture of a beggar seems to me to fit in nicely with this.
Again, I’m not saying that this way of receiving in in any way superior or preferable - it’s just my personal viewpoint is all.