Uh, no. Bergdahl was convicted of desertion. There's no evidence he attempted to join the Taliban. Otherwise, he'd be doing serious time. Bergdahl's offenses were minor enough to avoid any prison time while the "enlightened" Federation felt Burnham's crimes were severe enough to warrant life imprisonment.
Chakotay's rank was provisional and it's unclear whether or not Janeway had the authority to permanently reinstate Paris's rank. In any case, there's no canon evidence that either retained their Starfleet commissions after Voyager returned to the Alpha Quadrant. And even if they did remain in Starfleet, I doubt either would be in line for starship command after their perfidious association with the Maquis.
Also, Paris was serving an eighteen month sentence for treason. Clearly his transgression was deemed far less severe than Burnham's. You don't sentence someone to life in prison, then turn around a year or two later and give them a starship command.
Burnham was given the maximum possible sentence under Federation law for her crimes: life in prison. No other "hero" character in Star Trek has ever committed crimes of this magnitude. Not Kirk in STIII, not Spock in "The Menagerie", not the Maquis rebels. Without a huge reset button, there's no plausible way for Burnham to be trusted with command in Starfleet. It would violate everything we know about the Star Trek universe and make a mockery of the chain of command.
