There are a few things going on here.
First, the "as-design" behavior. Which is this: Any object sets the "floor" value. So if you have a body, sketch, or canvas that hangs out below the model that you wish to render, it moves the floor down.

How to avoid this? Turn off visibility of all objects that go below the model prior to entering Render environment.
As for the complaint, yes it appears the floor setting in the Design space will be affected by changing tabs/workspaces and it probably should not be.
I'm not sure whether this floor setting is intended to drive Render workspace results, however. There is a ground plane control in Rendering that has always been available and intended for this.

There is room for improvement here too. It's not obvious, but look at the command prompt boxed in yellow in the image above. The plane position will snap to model geometry, but there is no highlight or preview other than the command prompt to indicate it's going to snap to something you are clicking under the mouse.
So we have 1 bug and 2 improvements:
1. Ground plane should not reset when changing tabs/workspace (bug, minor) (FUS-120242)
2. Improve: allow users to turn off visibility of objects in render space and make an effect on the scene "floor" (rather than having to do it in another workspace prior to rendering) (FUS-120243)
3. Improve: give visual feedback that render scene changes are snapping to actual points/faces/etc. (FUS-120244)
Phil Eichmiller
Software Engineer
Quality Assurance
Autodesk, Inc.