The swing needed by Chelsea as a footballing organisation is defined by one stat. Only Jose Mourinho has lasted longer than Graham Potter's reign at Brighton in the last 20 years.
The feeling coming from Stamford Bridge is that the new owners desperately want this to change. They want a manager to become the face of the club for years to come and to create the pathway for future success. It's a wish that lots of clubs want and the Blues themselves have tried to do it before.
Roman Abramovich's Chelsea in the early 2010s became a journey to win the Champions League and even the appointment of Andre Villas-Boas as a long term option didn't stop his demands for immediate success, even if there was hope of longer-term and more sustained achievements.