Even games that support newer DirectX versions sometimes recommended users to install DirectX 9 to gain the best performance.
There may be games that tell you to use DirectX 11, but then the performance turns out bad.
In this case, installing DirectX 9 may be able to improve the performance of the games.

DirectX 9 makes it easier for game developers to create games.
It benefits users as well.
There are games that let you choose DirectX version.

The newer version provides all the functionalities that the games need.
How much the impact is depends on the computer specs.
The performance hit will get worse on a less powerful computer.
Installing DirectX 9 is not difficult.
It is almost like installing other software that you have installed on your PC.
Most users just hit the Yes button to skip it but feel free if you want to read it.
If youre really that worried, you could create a system restore point or even a system backup.