I never call the parents to come and pick up their child if it's a new child transitioning. They have to learn to get through the days and so do we. I used to transition children in slowly, a day, then two/week, and so on, but now I want them full time right away, it helps them transition quicker.
When children are new they do need some cuddling, they are scared out of their minds, but I always put them down after cuddling for a little while and let them know that they have to learn to play independently, I agree with you there.