What, exactly, is now shown? Not sure if I understand this, or at least I don't understand what your intention was...
Assume your soldier has 100 firing accuracy and 100 health.
Assume the soldier loses 99 hp and now has only 1 hp.
The Unit Info screen (battlescape) will show you that remaining firing accuracy is 1 .... whereas it is actually around 75.
The chance to hit in the Action UI will correctly show you about 75% of the chance you had before injury ... which doesn't make sense when the other GUI shows you have remaining accuracy of 1. It is nothing game breaking... but for 20 years everytime I saw that my soldier has just 1 firing accuracy, I never even bothered to check the chance to hit, because I thought it would be around 0%... but that is definitely not the case... even losing almost all hitpoints costs you in worst case only 25% of your accuracy. So, it is actually worth using even soldiers close to death... which is something I learned only yesterday (thanks to a viewers comment on youtube and confirmed by Warboy) after 20 years... because of this glitch.
There are of course other bonuses and penalties... but they don't have such impact.