This is probably not a bug, this is a side effect of resampling. The texture is too small so the pixels end up inflated and melted together, resulting in UV maps referring to the pixel texture getting blended colors instead of the correct colors.
In Studio presumably this resampling does not happen due to any number of implementation details. If it does not match client behavior on a fresh restart of Studio with an empty asset cache, that inconsistency is probably the only bug here.
This is likely just a missing feature to allow textures platform-wide to remain pixel perfect / use nearest neighbor resampling.