So in EE, one cannot choose as to which province ( city) in Canada they will settle unlike the current FSW program as this depends on the place of the Employer? what if your relative is in another province, you cannot transfer there? just asking.
I hope I understand your question correctly. You are asking whether EE applicants can move about (within Canada) after successfully become PR, correct?
Canada doesn't restrict where PR live after they have successfully landed so landed immigrants can settle anywhere in Canada.
(except I believe some provinces PNP require them to live in the province for some time, not so sure about that)
Of course, location of a job largely decides where one would settle. For people who gets a job before apply for PR, then for sure they will go to wherever the job is. Though that is more between the person and the employer, not so much with CIC. (IMO it is very common that one declines a job because of its location)
You are correct in seeing contradicting terms for EE in having a job offer in one province and a relative ( you show on your application) in another. I suppose it could be difficult to convince CIC that you will not go to live where you relative lives even if you have s job offer in another provice which you use (a job offer) to get more points for getting ITA.
