I had an X2 M35i for a few days and was going to right a short review/comparison as it has the same engine, gearbox and AWD system (with a few tweaks) as the new M135i, but it would appear 99% of the members on here have written off the new 1 series so I won't bother. I will however summarise my thoughts on the gearbox.
In Comfort Mode and just pootling about, the changes were just as smooth as the ZF, no noticeable difference. In Sport Mode it felt marginally slower than the ZF, unless you were using full throttle kickdown, then the changes nearer the rev limit seemed overly exaggerated/aggressive.
There was a noticeable delay in kickdown in comfort, which would explain the Carwow video where they did the rolling test. Also I found pulling away at roundabouts in Comfort was awful. Not sure if this was specifically the gearbox or the fact it's a smaller engine with a bigger turbo (maybe both), but it was very laggy/hesitant. However in sport the issue went away.
Is it as good as the ZF? No, but it's not bad. Just forget comfort and drive everywhere in Sport.