Possible dumb question

Hypothetical situation:

 

I got a new system and my old system had McAfee installed (and  the McAfee Removal Tool ws not run).  Norton (COMCAST) is installed on the system also and runs OK.

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If I migrate all my data and programs from an old system to a new system using software that will move everything, is it possible for remants of the McAfee to transfer also and cause problems with Norton on the new system?

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I would say yes and it may be possible that I would need to run the McAfee Removal Tool on the new system, even though McAfee was never installed.

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Thanks in advacne for all discussion/comments/insight.