This is how it would work for single parts;
This is how it would work for multiple parts, where the placement is based on the chronologically first part;
And this is how it would work for midi notes (thanks to mozizo for the reminder!);
I’m aware that the range tool can be used in the arrange window to select a range before duplicating and that this would align the duplicates to whatever range I select, but I believe that what I’m suggesting here would make the workflow quicker and smoother when it doesn’t require a precise mouse interaction with the range tool prior to duplicating. Also, as mozizo commented; the range tool is not available in the piano roll.