I, personally, don't think they're the same design. The lamps that he hates have a Tiffany's/Art Nouveau look to them. His Mind Portal Door seems to have a Frank Lloyd Wright/Mission Furniture/Art Deco look (just like the design on the sides of the cube that makes up his level).
While we're speaking of the Mind Portals, when I first went through the games, I didn't realize each person had their own version of the mental doorway. I always wondered why Milla had such a big head since the Mind Portal on her forehead seemed so small in comparison to when Sasha used it. It wasn't until much later that I realized her Mind Portal wasn't the same as Sasha's, and of course it would be smaller and "daintier". I can be such a doofus sometimes!