It feels to me like there is no way to "improve" short of blindly guessing synonyms. The space feels like concentric circles, where two words with similar word2vec scores move along the circumference rather than normal or even tangential.
I have also found it frustrating in semantle when I get something that is "close" but is actually close because it is a direct antonym of the word.
I've had this same idea to use the point cloud visualization to improve my own take on language model games - but I when I experimented with this, I found that even the best 2D representations were still quite bad in the context of trying to help out humans.