It is quite possible the cameras assessment in Evaluative metering, is different in different models. The "issue" is that there is a component of "guessing" what you are taking a picture of, and this is proprietary, Canon don't explain what the camera is assessing, what look up information it has, or what adjustments it is making to "standard" metering because of those assessments.
To work out how your two cameras are metering compared to each other the easiest way to do it is mount a 70-200 on a tripod, then put each camera on the lens, zoom to achieve the same framing and then compare meter readings. Spot, Center Weighted, and Average should all read the same, if there is a difference then it should be consistent, 1/3 stop or so either way. But the Evaluative could very well show marked differences for no apparent reason.
This is one reason when Evaluative was introduced many didn't trust it, I never met a prolific slide shooter who used Evaluative mode because you just don't know what it is guessing you are taking a picture of.