I am nearing completion of the first volume.

Genji never stops being lecherous but he does develop deep connections with many of the women he is involved with. Some of the women have passed away, and Genji mourns them but never quite develops (so far) enough self awareness to change his behavior.

There is always a bit of calculating and plotting behind his actions, even if he ends up suffering for them. At one point, he even self-exiles from the court but eventually comes back stronger.

Fate seems to strike those around him, especially for his own actions -- and this is where the critique of his bad behavior is focused. Karma is also a thing but we may be left to contemplate the contents of Genji's past and future lives.

It is a 1000 year old novel and our ability to read it now is the result of centuries of scholarship. The translator is very aware that there can be no authoritative translation and strongly believes that each translation adds something to our understanding and makes the work accessible to a different audience.

This is my default position regarding any story before even considering that each reader receives a story differently upon each reading. I am not interested in canonicalization as a thing. I even find it toxic in a modern context as it relates to big intellectual properties.

Even the original work was written in a language that became archaic a few generations later, so it has been in a constant process of modernization for subsequent generations. There are a lot of Tales of Genji out there. The older English translations are still considered valid, they haven't been superseded by "better" scholarship. It is a deep well.