There's a good reason not to use encryption schemes that have backdoors, they aren't safe and this pull quote betrays the fact that Barr knows that.
I'd be willing to wager that the government isn't going to use backdoor-able encryption because the risk of failure is too great. While not being critical to national security, safety in storing your medical, financial records and your conversations with other is mission critical to citizens. Hopefully folks on capital hill see that.