You seem to be fixated on there being only 2 subparts to split or remove or join in the workflow.
Boolean tools often allow the union of more than 2 sub parts if the shapes overlap in multiple places.
Traditionally Boolean operations are done with pairs of objects, but this is not all that necessary. You could pick one, the choose a tool, then be prompted to pick the objects to apply in the order desired, and the multi-boolean operation could commence.
I find it crazy that the LayOut Glue tool forces the actual picking of 2 and only 2 things !
Ridiculous! Why cannot I activate the tool, then window select multiple shapes to join ?
Why cannot I pre select multiple shapes then right-click and choose Join from the context menu ?
Why cannot I drag select with the Join tool?
I’d also desire the same kind of thing with Split. Select multiple shapes, right click and choose “Split”.
All the shapes are split at however many intersections that there are. Tools should honor any pre-selection. If there is any question, then the GUI can query the user for confirmation.
That would just be confusing the issue (the workflow.)
Perhaps the most ridiculous thing I’ve read this week. A perimeter is a fundamental aspect of geometry. You cannot fill something unless it has a perimeter.
Maybe you are proposing a “magic wand” type of tool (to use a Paint.NET tool analogy) ? A tool that cuts along a boundary between colors or things?
Instead of inventing more convoluted ways to avoid boolean or batch operations, … just implement what users have come to expect in CAD & Drawing applications.
And do so in a flexible way, that do not limit the order in which the user wishes to work. A user should be able to pre-pick objects before choosing the tool, or choose a tool with no objects selected. Tools need to be adaptable to the user, not the inverse.