I'm not sure what the differences are caused by but there look to be differences. If this is WB or colour or contrast or exposure or a combination of them all I don't know.
As I mentioned before, focal length comes with a physical aperture and an f stop number dependant on the focal length but we can get the same field of view and use an equivalent aperture when using a different format size. There'll still be lens technical differences which could affect the image and of course whatever differences the camera body and in and out of camera processing introduce but we're looking for 3D pop possibility and differences here and that may to an extent be less affected by the lens as long as we have enough sharpness and contrast and other things such as the rate of sharpness fall off and field curvature and everything else are roughly similar.
To get 3D effect pop with smaller apertures you'd need good contrast and a composition with conducive spacial relationships and distances. Getting closer to a main subject and/or having surrounding and background elements at good final result friendly distances will help.
I can see this in FF when using smaller aperture shots from f5 to f8. If you have a person or some other main subject which you want to pop smaller apertures may be needed to get enough depth with the framing you want but these smaller apertures and the depth they may produce in the scene as a whole may be counteracted if you need to get closer to the subject as closer distance reduced DoF. I see it even at even more extreme apertures like f16 when doing close up shots. I'm tempted to post examples from both my A7 and MFT cameras but as I posted earlier there'll be 100 different opinions and it'll just go on and take over and all this is personal preference anyway, so I won't
Generally I'm not a fan of too many very thin DoF shots and after the honeymoon period with a new lens they tend to be a smaller percentage of the pictures I take as I generally like most if not all of a person in the depth and when taking scenic pictures I generally like to be able to make most of the scene out.
I generally use MFT with the lenses wide open (f1.8?) to f4 or whatever they end up being at the end of their zoom range. I should therefore be able to get a similar look to FF at f3.6 to f8. Without pixel peeping the most noticeable differences to me between FF and MFT when not aiming for minimal depth are normally dynamic range (but that's not always an issue) and height to width ratio.
