I can't fathom the logistics of this, both my children born 2002 - 5 weeks early and 2007 - 3 weeks early, had to go on the peads heat table thing (sorry can't remember what it's called) with a bevvy of nurses and consultants, which was across the other side of the room, but even if it was next to me can't see how it would owrk, cord not long enough, different height of bed and unit etc. Also both children have never been iron poor, I would have rather they were looked at ASAP due to their early arrival than left until the cord had stopped pulsating, both needed help with their breathing/lack of oxygen, cord blood oxygen being insufficient, is more important I feel.
Both are now healthy, tall, happy boys aged 6 and 10. I'd never even heard of this until now, but I think it is just one of those things that seem very important to do at the time but really don't have any impact in later life. Like skin to skin and all that jazz, total fear mongering nonsense that if you don't do it ASAP you will have no bond with your child, utter rubbish.
In the end you have your baby the way you have your baby!