Rowing and psychological violence are not the same thing.
The difference is in the eye of the beholder, in the tangible world of real things, the only difference is the word of the partners involved. They are not the same thing, but rowing IS psychological violence if one partner insults the other and that partner decides to see it as such.
So, if you trade insults for years but one day the wifey has been banging your best mate behind your back and decides you're not funny anymore, she calls in plod and says "he abuses me, he insults me" then you are guilty. If or not anyone would convict or not is a different matter, but then this has become "it's only a crime if you get caught".
This isn't an I'm to scared to leave thing and it shouldn't be illegal. Threatening behavior, causing people to be afraid of a physical consequence, which I can only assume is what you have taken to be psychological violence, is already illegal and doesn't need this law.
Or maybe you think it should be illegal because of "you aren't allowed to see your friends anymore" sort of thing, where there is a vague physical menace that's too covert to convict as an overt threat of violence. I can understand the sentiment, but such a vague law would be abused in enforcement.
Unless a large number of media outlets are lying, the French DO intend this law to cover repeatedly insulting your partner, without any menace, a partner who is free to leave if they choose to at any time.
That said, anything that criminalise-es a Frog has got to be a good thing.
Until our nut-case politicians see it and think "oh there's another law we can implement just in case we haven't made an incidental criminal out of everybody yet" and bring it over here.