I am in doubt how relevant this is, but I noticed that your beamsplitter consists of a thin sheet of glass.
Some professional manufactured beamsplitters are built by connecting two glass prisms resulting in a cube shaped splitter with a 45 degrees boundary crossing the cube corner to corner.
Se this
Carl Zeiss beamsplitter . Notice Picture no. 7 where you se directly through the cube and no. 8 where you se "round the corner".
I could imagine that the light rays from object to camera is less disturbed (diffused/reflected/refracted) by passing two 45 degr. glass surfaces extremely close to each other (in the cube) than two 45 degr. surfaces separated by a relatively large fraction of a mm (glass sheet).
That consideration is of course only valid if we assume that the light rays are much less affected by passing a surface at right angel (90 degr.) to the rays than passing a surface at 45 degr. angel. My intuition supports this.
I am not sure if Carl Zeiss' opticians were motivated by this chain of arguments. But it could be worth considering. Especially when the price is so low.
Troels