How and where are you making these measurements?
Can you post pictures of the loading condition?
And just to make sure I'm clear, all that you are really expecting is for the spacing between the results to be the same for stress, strain and displacement. Ie, of they are all on top of each other, they should be the same for all. If one is offset above from another, it should be the same for all.
I'm not sure how SolidWorks Simulation labels the strains, but Max Strain sounds to me like the Maximum Principal Strain. Depending on your models, I can imagine that the Maximum Principal Strain might be very close to the same for some of your models when the von Mises stress would not be, since the von Mises stress is dependent on the Minimum Principal Stress, which might be different. If SolidWorks Simulation gives you the option of plotting von Mises Strain, then I would certainly expect that to match up with the von Mises Stress for a linear analysis.