Here I set up a 'test', using a row of VCR tape boxes, with each box set forward (closer to the camera, from left to right) by 1/2". I placed a ruler against the box fronts, at an incline to the focal plane, to aid in assessment of focus. I aligned the 9" mark of the ruler to the box front which I used as a focus target. In this example, I put the 70-200 f/4L IS lens at 70mm f/4, I was 7' away from my target object. This was shot at ISO 400, with 1/160 (over 2x the FL value, since you have a tripod which might be questionable, the speed I used was higher than the hand holding guideline!)
Here is the full image taken (resized to 900 x 600 for POTN posting)...
Now here is a section of that original frame, zoomed to about 50% (again resized to 900 x 600 for POTN posting).
Use this as a 'reference standard' for judging your own lens. It is very easy for you to set up a test of your own, replicating my conditions, to judge your own lens by! The point is to eliminate YOU or your tripod from the variables, by replicating the conditions under which your own lens may be judged to be equal or inferior to another lens of the same type.