If you see a noticeable improvement in whatever condition your pet is dealing with, the answer is most definitely yes.
I have dealt with a cat with specific issues. Depending on the recommended dry food, if it has not made a significant improvement by the time the bag is finished, I switch.
There are some conditions that definitely benefit from a better grade food such as urinary tract.
Also getting away from fillers is definitely advisable. In the wild you wouldn't find a big cat or wolf chomping on a side of grain with their meat.