Helpful as this post seems there are a few very strange things in it.
Firstly airlines advertise sponsorships in Flight International and other such journals and occasional the national press, not in the members section of the BALPA website (BALPA of course being a union for airline pilots, not generally those wanting to become one).
Secondly all sponsorships I have ever heard off, despite the fact that they often state "no flying experience necessary", require the applicant to hold a PPL to have any chance of making it past the initial selection rounds. The airline is going to invest a substancial amount of money in training you and wants to see two things before you start :
1. You do actually have the ability to fly an aircraft and pass some exams in the process - this is what your lengthy training will require.
2. Secondly - they want to make sure you are serious about this and are not going to drop out when the going gets tough - your seriousness is demonstrated by the fact you have forked out several thousand pounds of your own dosh on a PPL.
You need to be a BALPA member to get into the members area to see this advert that is being talked about. Does it cost money to be a member?
Is there anything on the airlines website?
I am yet to be convinced, but am willing to be convinced.