I'm familiar with Nerdrotic. I'm not seeing how Burnham can become Captain by the end of the season. If Pike goes, Saru turns out to be unfit, and Ariam does as well, then maybe that gives Burnham an opening, but I can't see her as being more than Acting Captain.
Don't forget the Kelpian thread this season. Saru could easily end up no longer Starfleet. He has been getting subtly more aggressive and "independent." Considering Ariam's currently questionable status she may likewise not survive the season. Also don't forget Starfleet's tendency of jumping protocol. Again, 6 episodes left and several relevant strings still dangling. There's is a very definite road map to Burnham's captaincy by season's end. Not saying it will but that there you go.