Is it possible to make night light status icon visible when night light is turned off?

Solution 1:

Yes. You can force the NightLight icon to stay on the horizontal bar all the time. For that you need to install a gnome extension called Night Light Slider.

You can download it from here. and configure that extension like setting a normal gnome extension

Once you configured this extension you can change the NightLight temperature from the top menu as shown in the picture. So you don't have to turn off night light from the settings anymore. And you can adjust the max-min temperature from the top bar itself without losing the NightLight icon.

Note: You have to tun on the night light in the display settings permanently. And it will not be a problem as you can adjust the temperature from the extension slider itself as shown in the picture.