@davebYYPCU, the copy box in sketch went in relatively recently, maybe this fall, as one of our "usability"/"customer delight" items. Clearly did not have the intended effect... 
As to why the copy box did not appear in the screencast, it's because a profile is not move/copyable (you cannot select a profile if you try to select after the command is started). So, what happens is that if you have a profile pre-selected and start the command, the command will recognize the selection as invalid for the command, and dump it (say, for instance you pre-select a sketch line and start the Shell command, it's not a valid selection, so it gets dumped- same thing). And, the Move command with nothing selected does not show the Copy box. You can see in the screencast that nothing is selected just after invoke with a profile selected:

It is worth pointing out that Fusion does show you what object you have selected:

so, some feedback is there.
now, I will say that it's a reasonable suggestion to say: If you are in sketch mode, and if you select a profile, and if you start Move, that it would be reasonable to assume that the intention was to move all the boundary curves of the profile, but even that is not quite so obvious. What should Move do in this case:

There are only 4 lines in this sketch (the two vertical lines, and the two crossing lines). How should Move interpret this selection? As this?

That, almost certainly, will not produce the expected behavior, and would likely be the source of another rant post down the line...
What I've generally found with any software is that there are a handful of concepts that you need to understand to be productive in that software. Imagine if you had never seen Excel before (and didn't read any documentation, or watch any videos). Would you have imagined that you need to type an "=" in order to get a formula into a cell? I would not have. But, once you know that, it becomes obvious. Knowing what objects exist in Fusion is one of those concepts. That sketch lines and sketch profiles are different objects, and different actions are valid on them.
Jeff Strater
Engineering Director