I think you have got this all wrong OP.
Small children need lots of physical affection and if you are not there to provide it and choose for their care to come from elsewhere, then you have to recognise that the much needed physical affection will have to come from the carers you have chosen. They need this as much as they need food and protection from danger.
"I don’t want to put my mouth on a cheek where someone else’s mouth has been." - maybe you should sterilise your child's cheek when they get home, just in case you catch something!!
Seeking carers who approach the children like robots might allow you to retain the exclusivity of your relationship with the child - no-one but us can give physical affection - but it will not be good for your child.
Choosing for other carers to be involved with your child means that they will do lots of things that you see as your role. It cannot be otherwise - if you are not there, then someone else has to do it.
It is hard giving up your child to the care of others; but you must not let your child be sold short over this.