Yes it will, by developing stronger muscles on one side vs. the other, which may be the reason he’s in this situation to begin with.
This recalibration might fix the imbalance, but it will always keep him at a higher chance for injury on every rep if the weight shifts to the weaker side for any reason.
This is all assuming the problem is a development imbalance to begin with. If the real issue is improper form, the problem will more likely get worse by ignoring it and the risk of injury will continue to increase.
But to each their own. I’d rather make a temporary 5/10 pound adjustment, or do a few extra iso exercises for a few weeks, rather than lose 3-6 months of lifting due to an injury.
actually I wouldn't consider his body recalibrate the imbalance on his own, the right thing to do would be he do work on said weaker muscle, chances are his imbalance, is not only being one member stronger then other, but something he do, he naturally had his balance shifted, be by injury or by bad posture.
like you mention, he will keep forcing one side more and it can give him a injury, the right thing would be he keep training and be alwyas on the look to keep his balance in check, by alwyas do the right movement and using both members in the same way, strenght, and velocity, even if that means taking it a little easier and slower to fix his posture.
for the op its end of the month and he didn't even started.... well better then getting a injury.
and I will say again, he should go to a gym, he is too green, and a possible gain of a social circle would be far more benefical to him then this home gym he bought, but since he likes to ignore anything who don't agree with him