Faced with the claim that there has been no austerity you realise you are up against what might best be described as a small world, and decidedly selfish, view of economics.
Whether or not there has been austerity is a simple empirical fact. By the Wren Lewis definition – government not ballooning he deficit out to whatever level means no rise in unemployment – then yes, there has been.
By a more reasonable one, there hasn’t been. Government spending is about where it was before the crash as a percentage of GDP. Which is what should have happened along entirely standard Keynesian lines of course. Recession, deficit rises, recovery, it falls.