Evidence for the anisotropy of the acceleration of cosmic expansion has been reported (see this). Thanks to Wes Johnson for the link. Anisotropy of cosmic acceleration would fit with the hierarchy of scaled dependent cosmological constants predicting a fractal hierarchy of cosmologies within cosmologies down to particle physics length scales and even below.
The phase transitions reducing the value of Λ for given causal diamond would induce accelerated inflation like period as the magnetic energy of flux tubes decays to ordinary particles. This would give a fractal hierachy of accelerations in various scales.
See the chapter Cosmic string model for the formation of galaxies and stars of "Physics in many-sheeted space-time" or the article with the same title.