The scheme broken here is not that interesting in the first place. Of course "The Register" should probably validate any article which appears on the IACR ePrint archive for "interestingness" before they just write an article on it. :-)
More interesting, was the break presented at CRYPTO yesterday here in Santa Barbara (https://www.iacr.org/conferences/crypto2016/) of the NTRU based FHE scheme (http://eprint.iacr.org/2016/127.pdf). This is the FHE scheme used by the Microsoft Research Labs demo applications of FHE talked about in previous Register articles.
Luckily though, even if the scheme in this article and the NTRU based FHE scheme have attacks, the main FHE scheme proposed by most researchers is the BGV one; which is the one implemented in the IBM library HELib (based on earlier code by yours truly).
In addition the break on the NTRU based FHE scheme does not apply to the "standard" NTRU scheme; which is kind of important as NTRU encryption is one of the prime contenders to replace standard schemes like RSA and ECC once a quantum computer is available.
As for the other points above. Any crypto paper worth its salt is open access in any case, as it would be published by the IACR and hence would be cross-posted to IACR ePrint. So if a crypto paper is behind a paywall; either it is rubbish or the paper can be obtained via ePrint.