I am not sure why you want to avoid the keyboard. This is nothing faster than ctrl C and ctrl X.
When multiple objects are selected in a Draft sheet, right-clicked and Cut is selected from the context menu, only a single object over which the mouse was right-clicked goes to the clipboard. The rest in the selection are deselected and remain on the sheet - the whole bunch of selected objects do not get 'Cut'.
What is happening is standard Windows behavior....to contain the select set for further actions, you need to hold the "Ctrl" key down when right mouse clicking (or using menu operators)....and all will be right in the cosmos. :-)
Design Manager Streetscape Ltd
Solid Edge ST10 [MP7] Classic [x2 seats]
Windows 10 - Quadro P2000
No Joy. As I select multiple objects in a draft sheet and hold down the Ctrl key while right-clicking one of them, the context menu deoes not appear.
Wish I could show you holding down the Ctrl key in a screen capture.
Aha! and as I keep trying hard - its the Alt key: hold it down and right-double-click on the selection set to pop up the context menu without losing the selection.