The Destination Tank doesn’t matter, its the origin Tank which Matters for this, and Fluids DO NOT MIX WELL IN PIPES AT ALL, so do not use a Single Pipe for multiple Fluids ever! There is Quad-Pipes and Nonuple-Pipes for a reason!
And Covers stay on the same side no matter what. If they rotated with the facing they would cause WAY more confusion to the User than not rotating. Especially since vertical Rotation would not work at all even if i did that.