The linking of an embedded object seem not work. But symbols are functional.
I have selected the leftmost rectangle and clicked Create in the Symbols panel. Then I dragged two copies of the symbol to the artboard and skewed them differently.
All edits except placement and other geometrical transformations I do to one of the instances of the symbol, happen also to the other instances, if Sync is selected ON in the symbols panel.
NOTE: When an object is dragged to the Symbols panel, it also becomes one instance.
If you want to insert a mask to one of the instances, but keep the rest as is, simply turn Sync OFF temporarily.
A group can be a symbol. You can select a part of the group in the Layers panel and move it on the artboard. The movement happens in all instances, if Sync = ON.
There's something not simple behind all. If I put the Sync OFF and recolor one of the instances, I cannot any more get the color of that instance synced. Obviously AD turns separately edited thing unsyncable.
Also the stroke disappeared a couple of times, but it returned when I edited stroke width with Sync=ON.
Skewing, scaling and rotation are not allways enough for wrapping. There's no envelope distortion in Affinity Designer. That makes curved surfaces and realistic perspectives difficult. But you seemingly have got another answer of a workaround in affinity Photo.
BEWARE: It's far too easy to click Detach and break the link of the selected instance.
More about symbols: https://affinity.help/designer/English.lproj/index.html?page=/SymbolsAssets/symbols.html?title=Symbols