It depends what "right is". Here's the "same" article from April, which was updated multiple times, and last updated May 2nd.
With the teams from third to seventh in the Premier League separated by just seven points, the race to secure Champions League football next season is intensifying.
www.bbc.co.uk
They've been running them, and updated the text/table every few days for the last month. Shuffling around the list at the bottom is just extra work, and makes no real different to the table.
It was likely the "right" order when it was first produced, and it's probably a good life exercise in externalising things that you're going to be concerned about ;)