As I've pointed out before both Picard and Burnham present very similar drives in these two series. They both are, at the start of their journeys, flawed characters who have heightened savior complexes, both failed and gave up and were both called back by someone asking for help, which is something they inherently need to do. I expect Picard to hit a number of the plot points that Burnham did along the way, and to recieve praise character and storywise from the people who lambasted Discovery for going to the same places.
Picards story started in Encounter at Farpoint, Which is why this analogy doesn’t work.
Burnham is Tom Paris.