I ran into the bugs in the default web-based client available from the graph.global homepage, though, and I'm not especially fond of the opinionated choices it makes about overriding browser-native behavior for dealing with navigation.

I made an attempt back in November at beginning to implement an alternative frontend for it. I have an "instance" (if you can call it that) running at <https://graph.5apps.com/LP/streamline/>, but right now you can only use it for read-only access to w2g. I will eventually fix this to allow graph changes, too, because my original motivation also included how cumbersome I noticed it was when entering new triples and linking together existing entities. I haven't worked out the right interaction for that yet. See this recent note <https://hypothes.is/a/RdwnFLRlEeu1mD-tdfIKCQ> about adding a command-line interface to w2g.

Granted, it has similar whitespace problems as your criticism of Wikidata. An even more streamlined version that is tailored to be accessed from the terminal is, I think, more in line with what you'd probably like to see.

Which database of statements is this?

More, it might be easy to generate readable text, but accurate, correct text is a wholly different matter.