Change default min/max color_temp_kelvin for WLED light

I have a working WLED integration using color_mode: color_temp. It drives a CCT led strip.
The slider allows me to change the temperature from 2000K to 6535K. 2000K technically sets the warmest temperature and 6535K sets the coldest. It works just fine.
But I really would like to match the kelvin number to the actual range of my led strip what is 3000K to 6000K.

So far I did customize the “min_color_temp_kelvin” and “max_color_temp_kelvin” attributes of the light entity to my desired numbers.
Home assistant now sends a minimum of 3000K and a maximum of 6000K to WLED controller, but it resulted to inability to technically turn the led strip to its maximum or minimum temperature. (In other words if I now set the minimum 3000K in HA the led strip doesn’t turn to its warmest temperature).
How do I tell the integration that 3000K should be the new technical minimum and 6000K the new technical maximum?
Where else should I look for changing the original 6535K and 2000K to my desired values?

I figured out a possible sources of my problem. It seems that the min/max values of 2000K and 6535K are defined in the core integration of WLED. I found them in the const.py file.

# Static values
COLOR_TEMP_K_MIN = 2000
COLOR_TEMP_K_MAX = 6535

Now I’m not sure whether those constants are used only during the definition of a WLED light entity, or they actually are the technical min/max numbers. Is there anyone who can tell that based on the WLED integration source code?

https://github.com/home-assistant/core/blob/9320ccfa4fb1978222057332657f81120280987f/homeassistant/components/wled/const.py

If so, I guess the only workaroud would be to customize the core integration…