MPs not claiming more expenses than ever
Some of the confusion has been cleared up from the source. The Independent Parliamentary Standards Authority (IPSA) has published a blog post pointing out that the latest expenses totals aren't actually at their highest if you take inflation into account.
It's true that MPs expenses in 2013-14 totalled some £103 million - £1 million higher than in 2008, just prior to the MPs expenses scandal. But prices have risen since then, and the 2008 expenses are worth over £113 million in today's prices. In other words, not really the highest.