Every single piece of my base (even the roof pieces) are supporting every other piece. 
My base has 4 ‘stilts’ holding it up- each is a scaffold touching the ground, surrounded by stem walls.

If I recycle any single piece (even the roof pieces at the every top), the whole base collapses. 

I’ve tried reloading a save, and restarting the game.

EDIT: I’ve just replaced one of my stem walls with a pine wall, and the whole thing is fixed. Although, now it says everything is supporting 0 pieces, which also isn’t correct. 
 

I'm having a similar problem. I can't recycle floor panels because it destroys the entire base. I started with grass flooring because of accessibility and now I can't replace them. So I am stuck with the grass flooring. Found this post because I am scouring the internet to see if there is a solution to this yet. At the time of typing this, my game is updating. Not sure what is included in that update. Hoping it includes a repair for this bug.

I’ve also encountered the bug where all of your building pieces say they’re supporting everything. It does not seem to happen when I’m near the base question when the game loads, but if I am far away when the game loads and then travel to the base, it’s a near guarantee I will encounter the glitch.

The location where I encounter this the most is the fence post by the light in the picnic area.

Edited July 18Jul 18 by Alynxkia
Changed location discription