I have used the above style auto strippers, but they grip the cable and rip the insulation off on 2 sides.
I much prefer the ones that are like:
https://media.rs-online.com/t_thumb100/F0663617-01.jpg
These grip the insulation then surround entire wire insulation and cut it completely around, not just ripping it off.
I work with fibreglass covered 1.5mm mainly and nothing else strips them as well as the ones I linked to. On 1.5/2.5mm 3 core flexible cable I use a
one of these:
https://media.rs-online.com/t_thumb100/F5417015-01.jpg
Which took a lot of fiddling to get it set right so it did not pierce the outer enough to cut the inner wire insulation, it now works quite well, it would work better if I sharpened the blade lol.
The previous method of scoring with a stanley knife (without cutting the inner insulation) was just too risky and meant I always had to wear a cut proof glove on my left hand which was a pain.
For twin and earth I do similar to the video but use all three inner wires so as to lessen any impact on any single one, I have yet to see a tool that strips the outer off twin and earth (I'd like to though - something else for the toolbox).
I have never, in 30+ years of working on all sorts of electrical equipment seen any negative effects using these methods, I have though seen them when someone yanks too hard and pulls a sharp bend in the inner cores or uses side cutters to cut round the outer sheath and they cut into the inner insulation exposing copper (this is usually how I see electricians do it btw).