Sorry mate. To get the old Rock and Role you have to be available for full time employment. Being on a training course means you are not unemployed. Why else do you think Tony would be so keen on further education? It gets the figures down.
Now when you have finished your training course you are eligible. I wish I had a picture of the face of my interviewer when they asked my profession and I replied Airline pilot. They justy signed the form! (Nothing on their books).
The bad news is that as a low houred pilot you are more than likely to get you wish and successfully claim for a while.
My best recommendation is to try and get part time work with an airline in despatch or operations. Get to know the people and when you are qualified get your CV in front of them.
It really is not what you know in this business.
Good Luck and enjoy it.