Liftgate supports only fit one side of liftgate

I’m trying to install liftgate supports to replace the failing ones on my 1999 Lexus RX300. I bought two of them — one for each side. However when I went to install them, I noticed that the orientation of the ball socket is the same on both supports. So the ball socket of only one of the supports is facing the right way (towards the ball connector on the liftgate). When I try to install the support on the other side of the trunk, the ball socket faces away from the ball connector. It seems like there should be a right side and left side support but I didn’t see those options when I bought the supports. I tried to twist the socket but it doesn’t seem to move. What am I missing here?

Here are some photos to illustrate:

Right side of trunk

Base of new support below the base of the old support. Notice orientation matches old support.

The socket end of same support above, but notice the socket is facing away from the ball end.

Left side of trunk.

When I turn the support around and try it on the left side of the trunk, the socket faces the ball end.