Based on this, I assumed there was an issue with the WiFi switch and GFCI. While I figured out the next steps, I removed the WiFi switch and decided to direct wire the 12 volt transformer and would just turn off the breaker to turn the light off until I figured out my next step (was thinking I would need a different brand/model WiFi switch).
I then had the following results:
Based on this, I am extremely puzzled. According to everything I have been able to find, it is not required but is OK to wire a 12 volt light to a GFCI. I did not find complaints about issues with 12 volt lights and GFCI. I could not any issues with LED light bulbs and GFCI. I called the LED bulb vendor, and they stated there should be no issue with the LED bulb and GFCI.
Some of what I have read is to not worry about putting the 12 volt light on GFCI - it is not necessary.
Can anyone provide insight on 12 volt lights, LED light bulbs, GFCI protection for these, etc.? Do I just not worry about the GFCI protection because it is 12 volt?