You may get £45,000 as an FO in BA (I don't know if that's an accurate figure or not) but you will also be in the RHS for a very long time 7-10 years...?
It's feasable to get a LHS at Easy in three years. So if you're in the RHS at BA for 10 years you could "lose" circa £200,000 over that period of time (simplistic approach).
Further more, at Easy you're home every night, no 2-3 day trips round Europe. In the end it all boils down to choice. If you're young and fancy a crack at long haul then BA has obvious advantages. If you're married with a family then perhaps long haul isn't desirable.
At the end of the day no-one puts a gun to your head and forces you to do anything. Make sure you are happy with the whole deal before you sign - no point in complaining later.
Good luck to all.
A4