I quite like the iOS time picker, but agree the analogue clock style that I think Android popularised is awful. The iOS one also gives a number keypad if you tap the wheels so you can enter that way if you prefer. It’s a shame they don’t do anything similar for dates.
I've never see the analog style clock one before, wow that is garbage. I'm not a fan of the iOS style time 'reels' either, but like you say, at least it opens a keypad if you click on them.
To break down why this picker is bad, here are several UX snags I immediately ran into.
1) It was not obvious how to set minutes, and I spent several seconds trying to get the hour hand to go in between hours.
2) When I let go and it snapped to minutes, it was not obvious to me how to go back and change the hour I had just input incorrectly. Then after I input minutes I expected it to jump back to hours but it didn’t. This is especially bad if your first interaction is a single touch rather than a press and hold, as it will jump with a wrong input and no obvious way to go back before you can even process how the interface works.
3) I have to look at different areas at the same time to select a time. My finger is trying to scroll a circle (where btw my finger covers the number), but I have to look above to see what the input is.
4) The above was even trickier in the minutes inputs, since there were not markings for sub-5 minutes.
5) It was not obvious that the top bar was clickable as an input area to select am/pm, especially since clicking the top bar would not otherwise allow you to input the time.
6) It’s not obvious with the switch to minutes / seconds that the units have switched. Need some representation of this on the clock face itself.
Some major ticks on all inputs and minor ticks that pop up on the minutes input would help a lot with 1, 4, and 6. Could be subtle markings, but would help quite a bit imo. But really this didn’t need to be anything other than a simple text input.
Those aren't so bad, they're reasonably intuitive to anyone who knows how to read an analog clock, and though they're easily fat fingered, you do one click for hour, one for minute and AM/PM in the non 24h versions. Imagine a scrolling time picker where you couldn't scroll the hours, only the minutes. That's what common date pickers are like.