I guess I was more concerned about camera shake. I am hoping that since the FF is not cropped, it won't be as sensitive to camera shake.
Expanding on that thought...
For EF lenses, the projected image will shift a similar distance on the sensor when the camera is "shaken" whether it is a full-frame or a crop sensor. But on a crop sensor, the part of the sensor used for image recording is smaller. Consequently, the same distance on the sensor will be "blown up" on a crop sensor - the "shake" distance on the final image will be larger relative to the image size on a crop sensor.
However, the framing from the fullframe camera is different from the crop sensor. The crop sensor effectively 'zooms' more into the tele direction. As we all know, shake becomes more noticable the longer the focal length of your lens is. Effectively, crop cameras increase focal length - and in the process, the shake becomes more noticable.
Example: a 300mm lens on a crop camera vs a 300mm lens on a fullframe camera will physically have the same 'blur' distance on the sensor. But the crop camera blows up a small part of the image, including the blur distance contained in it, so the blur is more prominent relative to the final image size than for the fullframe camera. Note however that 300mm on a crop camera is the equivalent focal length of 480mm on a fullframe camera. So the increased shake is 'to be expected'. In this comparison, we're not comparing apples to apples; we're comparing different effective focal lengths.
Because focal length is effectively smaller on a fullframe camera compared to on a crop camera, shake will be less noticable when using the same lens. However, if you use a bigger lens on a fullframe camera to get the same framing as you would on a crop with a smaller lens, the shake can be just as prominent. In practise it probably won't be as prominent, because a fullframe camera with a bigger lens is also heavier - larger inertia, less shake. You might not even be handholding it at any more at that point.