It mentions "Changes in Employment" in that link. Are you sure I do not have to let them know? What if they call my company and learn that I no longer work there.
@legalfalcon has guided you correct here. There is no need, your company will confirm the time period mentioned in your file till AOR, so you will be okay.
AFAIK it is for candidates with job offers or CEC candidates as changes in their job can change the application eligibility conditions, in your case it does not affect your eligibility at all. Candidates all the time leave jobs, i have seen maximum not informing CIC, no negative impact.
Also you have already sent CSEs, you will unnecessary complicate file, though no negative impact of course, IMO. Still if you wish you can send for your peace of mind.
@legalfalcon can further help you out on this with his expertise.