I'm Not sure what you're talking about really...
What my system would do is mitigate winner-take-all to some degree.
In the current system, If you win Texas by 1 vote; 5,000,001 to 5,000,00...in the current system; the 5M may as well not even have been cast. 41 Electoral votes go to the winner and that's that.
In my system, If you win Texas by 1 vote; 5,000,001 to 5,000,00...the 5M votes will still count because to become President Elect, you have to win both the Electoral College vote as well as the majority of the popular vote.
What my system doesn't do is make a candidate visit Alaska or North Dakota. No system on earth will do that.