Proof needed. I can in fact think of counter examples:
Say there is a DAO that gives more voting power if you own more ETH. In that situation, it might make sense to borrow 900 in ETH with 1000 ETH collateral. Then you make your vote on the DAO with a power of 1900. And pay back 910 in ETH to the lender. The vote on the DAO might trigger an action that is worth more than the 10 ETH you paid in interest. For example if you run a company and the vote on the DAO was to buy a service from your company.