Why are the colors of the image inconsistent in different applications after the monitor calibration?

I have calibrated my monitor with a color feeder, however, I discovered that the colors appear different in different applications. I have created two test images and I have opened them in several applications. Here are the comparisons:

Gradient from black to white: https://i.imgur.com/DQClfey.png
enter the description of the image here

Gradient from red to 50% gray: https://i.imgur.com/7PSl5qA.png
enter the description of the image here

As you can see, the gray levels are different in Photoshop and Lightroom. Then, in web browsers, Chrome and Firefox are quite similar to Lightroom, although Chrome's gray levels are a little brighter. Internet Explorer and the Windows Photos application look darker and have more saturated colors.

Another comparison of this webpage in Chrome and Edge: https://i.imgur.com/dVTeu96.jpgenter the description of the image here

In Windows Color Management, the ICC profile associated with my monitor device is configured in my custom profile from the calibration (screenshot).
enter the description of the image here

The Adobe Photoshop RGB workspace is set to sRGB (screenshot).
enter the description of the image here

In Firefox, I linked my ICC display profile and enabled full-color management (screenshot).
enter the description of the image here

I do not know what colors are supposed to be "correct", because even the wallpaper of my desk is shown with those colors more saturated and darker, so I'm confused.

Also, I do not know why these subtle differences exist in the dark gray levels in the first 4 applications that are shown in the test images. Since I am using DisplayCAL as my color and profile calibration software, I was able to generate an ICC profile with an interchanged matrix (blue-red-green instead of red-green-blue), and showed those colors exchanged only in Chrome, which means that you should be using the profile based on matrix instead of based on LUT. And that could be the reason why it makes some colors different.