My first question would be, how many deliveries does your facility do a month/year?
Who would be looking after your patient load while you're being the baby catcher?
At the facility where we didn't do a lot of births (1,000/year), the charge nurse was baby catcher. At the facility where I am now, where we do 3,000 births/year, we have a person who is designated in that role for the shift.
I don't think there's anything wrong with training/cross-training nurses into the "baby catcher" role (interesting that you used the term "forced training" - additional on-the-job training should not be seen as "forced" but, rather, should be embraced as a GOOD thing). My biggest issue is with the idea that this nurse has a full patient assignment that she has to abandon when she has to go catch a baby.