It is a limitation to transform tools.
Because there is a limitation to existing geometry at the moment to search what is symmetrical to current selection.
You are mentioning tools that are generating geometry.
They can require a specific selection to work or not.
They can have a different behavior according to selection.
Some like loopcut can use pre-selection highlighting.
So, that would probably require to analyze every tool, one by one, to find a solution specific to it.
Offset Edge Loopcut like Loopcut and Slide is a tool that generates geometry and then transform it.
So, here, geometry is not generated by mirroring option but sliding is still accepted for one edge.
Edge Slide is an operator on its own.
I don’t know if that will be easy to make an exception to ignore mirroring for Offset Edge Loopcut.