Cable DVRs have to actually capture and record the signal into a ring buffer, and if it isn't integrated into a cable box[0], it has to come out of one, with a complicated setup of IR blasters to have your DVR tune the cable box to a specific channel. And of course you have to actually pause the video or record it in advance in order to get commercial-skipping capability.
Cable ad skipping is entirely a technical problem, streaming ad skipping is entirely a legal one.
[0] You were supposed to be able to just get a CableCARD, but the cable companies fought tooth and nail to force you to
The comment I responded to suggested that it's impossible to record video delivered over the internet, which is obviously insane. Were you thinking of something different?
The comment you replied to was pointing out that it was possible to record from cable TV with DVRs and that they had a feature to detect commercials and either skip recording them or allow you skip them en masse during playback.
It is quite difficult to record video from many services. Harder still to do it in an automated way like a DVR.