There are two filaments in the bulb. Dim (parking) and bright (turn). There are 3 wires that go to the socket, the parking light, turn signal, and of course the ground. Turning the parking lights on does not fully test the bulb.
Highly doubt it is the flasher since it works fine on the other side. Also doubt it is the switch in the steering column because that is a simple switch. If the blinker turns on the correct side the steering column switch is fine.
You very well may just have a defective bulb. I've had that happen before.
Not for THIS bulb and THIS socket. It is very small, and the contacts are just wire wrapped around the glass. However, you got me thinking, so I went out to the garage, and THIS time instead of just standing by the side of the car when I turned both the parking lights, and the *RIGHT* turn signal on, which you can easily see working inside the garage, I walked to the front of the car, and made a discovery. The parking lights, and the turn signal lights are in two separate housings. This car is very low, and the turn signal housing *front facing only:hmm:* is hidden underneath the bumper. you have to be nearly prone to see it. So the bad bulb I replaced was the parking light.
Gee two bulbs burning out at nearly the same time, whoda thought.
LOL, at self, I may be an old fool Anandtech, but I'm your old fool.