Ah, OP you’re one of those people who fell for David Cameron’s talk about ‘people who’ve done the right thing’.
Here’s the thing about benefits. The thing they really ought to do is protect the people most in need. If, in the process, they accidentally reward some people who haven’t scrimped and saved like you but could have, well... so be it. If someone else has spent more money on things, so they have more things than you, and now they get this handout and you have to spend your savings, well... so be it.
Because ‘is it fair if I have to use my savings’ is not the right question.
The right question is: will this help the people most in need? Right now it barely does that, or arguably doesn’t.
You and your savings pot cannot and should not be the determining factor, yeah?
You arguably could / should have bought some sort of income protection insurance (although not everyone can get this - I was refused due to my terrible health).
Thing is, if you had less money, you too could get help from the state. But you don’t need it. You just want it.