Since natural sciences are about experimentation...
![Smiley :)](https://www.eevblog.com/forum/Smileys/default/xsmiley.gif.pagespeed.ic.R8GFI-pF6f.png)
Let's mutilate my poor old 2010 model 25MHz Pico with 5ns riser from Arduino.
2205 does not have true DC offset much like DS1000Z AFAIK.
+-5V (1V/div), AC coupling, 4GS/s ETS, 5ns/div
DC average: -402mV s.d. 2.61mV
Rise time: 9.06ns s.d. 104.3ps
+-10V (2V/div), DC coupling, 4GS/s ETS, 5ns/div
DC average: 2.096V s.d. 4.651mV
Rise time: 9.239ns s.d. 103.6ps
+-5V (1V/div), AC coupling, 900MS/s ETS, 1us/div
DC average: 3.474mV s.d. 2.043mV
Rise time: 9.097ns s.d. 547.3ps
+-10V (2V/div), DC coupling, 900MS/s ETS, 1 us/div
DC average: 2.514V s.d. 2.142mV
Rise time 9.248ns s.d. 540.6ps
Note waveform general look and placement on screen is same AC vs DC mode = controls were operated correctly.
I can see lost precision (look s.d.) due to less vertical bits in "simulated DC offset mode" and DC values are seriously affected in small timebases (=zoom from large timebase on DS1000Z due to screen buffer based processing).