More pumps than patients, ermmm me thinks someone telling you a little porkie there...
There could be several reasons behind your daughters wait...
But from what you say, it's probably because of two things..
First is scheduling of training and the second being allowing you time for both the family and your daughter to get your heads around her diagnoses etc...
Pumps do come with a steep learning curve, and quite hard work to get up and running with them, so I expect your clinic feel that this could lead to information overload introducing it all to early..
What you can do, to help prepare yourself and give you a head start is start researching insulin pump therapy, there's a very good book by John Walsh called Pumping Insulin (seen by most pumpers, as the pumpers bible) but also join the an Emailing list such as insulin-pumpers.org they also have a children section (join the main emailing list and somebody will point you in the right direction) here you can ask various questions, and see how other use their pumps in various situations, what problems might be meet and how other deal/address them.. This will help you understand the theory behind pumping, lessen to steep learning curve when your daughter finally gets her pump..
As to pumps, when I first started pumping, they were quite a difference from one pumps capabilities to the next from what Wizards they did and didn't have to the increments of dose adjustment, but now the basic spec's are pretty much the same from one to another...
The main difference between them now are
The Rouch Combo, has a combined remote/bg meter which can be pretty useful..
The Veo and Vibe have CGM capabilities handy if you afford self-funding as at the moment there's no NICE Guidelines for CGM's so funding is few and far between.
The omipod, is a tubeless affair which attaches to the body, it does have a remote but without the remote you lose a lot of the functions as only very basic's functions can be carried out of the actual unit..
But at the end of the day, doesn't matter which insulin pump you have it will only ever be as good as the user, as we instruct the pump what to do and when basically.