Here's mine immediately after power on (the USB stick was ready and waiting) and about 15 minutes later.
There's no real difference in compensation quite a big difference in peak-to-peak voltage (0.1V difference!) and surprisingly big change in DC offset voltage (highlighted in second image).
If you save the two images and flip between them in Windows photo viewer using left/right arrow keys you can really see the difference. I didn't expect that much, it just goes to show the importance of warming it up before use and before calibration.
I took another screenshot about 10 minutes later and there was about two pixels difference between the two. I can say it's fully warmed up after 15 minutes.
Maybe a more controlled test is in order to see how long it takes, eg. taking a snapshot every 10 seconds. I'll have to let it cool down for an hour first.