  In arXiv:1005.3255 we proved an orbifold Cheeger-Gromov compactness theorem
for complete 4d Ricci shrinkers with a lower bound for the entropy, an upper
bound for the Euler characterisic, and a lower bound for the gradient of the
potential at large distances. In this note, we show that the last two
assumptions in fact can be removed. The key ingredient is a recent estimate of
Cheeger-Naber arXiv:1406.6534.
