As it best current player Kessel is the present face of the franchise by default, but unfortunately he is also the poster child for everything that is wrong about this team.
He is small, soft, easily intimidated, weak defensively, soft spoken, avoids the media and lacks any leadership ability and his presence doesn't make any impact on success outside of the goals he scores. Even that is offset by a near team leading worst negative plus/minus, putting him on the ice for far more goals against then for in the process. That ends up hurting more than helping your team in the big picture when your a defensive liability on the ice.
Fans always want better players be brought in to support him, because they realize he is a support piece himself and unable to carry a team on his own merits making it better.
On top of all that he is a lightning rod of attention (unfairly to himself because he didn't make the trade), but for the dear price in assets used to obtain him that is a regular hot topic of controversy and constant distraction throughout Leafland that is only going to get more intense the greater Sequin/Hamilton perform and not going to end until Kessel is no longer a Leaf.
Burke's firing itself now was just served justice on the grounds of accountability for an ill-advised trade based on a GM badly misreading the level of compete and his inherited teams weak talent composition and going all-in far too early, resulting in far higher draft pick compensation then the player himself is worth.
The best thing for Leaf Nation would be to put an end to all this and for Nonis to use Kessel as a tradeable currency to address team needs and fill holes with a better long-term building block, and end all distractions by cutting ties to the past and moving on as an organization. IMO
Letting Kessel potentially walking away as a UFA at the end of next season would only set this organization back further and increase the other controversy of the surrounding trade even more, and something Nonis must avoid at all cost. If Kessel walks Nonis should follow him out the door.