There's nothing intrinsically wrong with analogue displays, unless one needs high precision.
Depends on what they are displaying.
Assuming one is used to it, one can assimilate the approximate time more quickly by glancing at an analogue display than by 'reading digits'.
But what if the time displayed is not the time of day, but the amount of time left before an event finishes, a countdown is up etc?
Which is quicker to read - an analogue display with the hands running backwards, or a digital one?
PS - I'd never have a digital watch and all my wall clocks are analogue. But I do think that nixie displays are cool, and I do like the old flip clocks.
If anybody has a couple of million to spare for a clock, they could look into having a cronophage made...