Hi, there are what seem to me (not a statistician) to be a number of serious errors in the article. The most egregious is the first conclusion, which threatens to undermine the whole thing.
> There does not seem to be any strong connection between number of votes and a movie's IMDB rating.
Well, this just isn't true. I happen to know this because I've looked at this data before myself. The issue is that you're cutting off the graph at a maximum of 60k votes with no explanation or even pointing out that you're doing it! I'm sure this is just an honest mistake, but it cuts out basically every movie that is actually popular!
This slowly ate at me until it was enough to get me out of bed to redo this graph myself. I've uploaded my quick and dirty result in R here: https://i.imgur.com/TTuCFEL.png
As you can see from the graph, there's a direct and obvious link between the number of votes and the average rating. The reason I say this threatens to undermine the whole thing is that I also know from previous experience that more recent films tend to have a lot more ratings on average. This (naively) suggests to me that we should see some recency bias if only because more recent blockbusters get a much larger number of votes than others and the sort of people who vote on blockbusters have different standards for what makes a great movie. (Avengers: Endgame was briefly the #1 movie of all time on the top 250 list.)
I don't have time to plot all the different graphs you did, but perhaps you can recheck your results after fixing at least this issue, and get back to us?