I wouldn’t use a frame gripper to lift them as the elements of the flow frame need to be supported differently. If you try to lift a full frame by gripping a relatively few of the central pieces you run the risk of damage. However, there might be people who do it successfully.
The frames are built with solid ends and stainless tie wires top and bottom. All the movable elements sit in this support structure. To lift them, you use the hive tool to loosen both ends and then lift by the top corners. The wires hold it all together well and they don’t sag.
And there is no wearing of the frames in operation. They slide with a slight gap between them that the bees fill with wax. If you add up one opening and one closing operation for each time you extract honey, that’s not a lot of movements in a year. The non-sliding elements lock together with holes and pins.
There is a rather comical youtube video (the guy didn’t mean it to be comical, it’s just that he shows himself to be clumsy) where somebody attempts to demonstrate the construction and it all falls to pieces. When you see it happening you’ll realise that normal operation won’t be a problem