This is a continuation of Cosmological constant of standard model of cosmology and observational data asked in 2012. In 2016, Prof S. Sarkar, Nielsen and Guffanti published an article(see: https://arxiv.org/abs/1506.01354) where they have performed maximum likelihood estimation on Joint Lightcurve Analysis (JLA) catalogue for 740 Type Ia supernovae and only found a marginal evidence ($<3\sigma$) for " widely accepted claim that the expansion of universe is presently accelerating". However, this work was faced with criticism from D. Rubin and B. Hayden (https://arxiv.org/abs/1610.08972). The controversy persisted even after that (see the web discussion: https://4gravitons.com/2016/11/11/a-response-from-nielsen-guffanti-and-sarkar/) and eventually these discussions boil down to a debate over what kind of statistical method should be deemed appropriate for cosmological observations.
So, what is the current status of this controversy over positive $\Lambda$? Do we really have enough evidence for existence of positive $\Lambda$ ? S. Sarkar and co. claims that interpretation of evidences from other sources like baryon acoustic oscillations and CMB are very model dependent, where it is sort of already assumed that our universe is homogeneous and isotropic. Does it mean that we have sufficient evidence and should seriously look for a better model for cosmology?