As someone with zero sense of time, analog clocks let me use my spatial reasoning to reason about time. I am much more aware of how much time I'm spending on something with an analog clock
So it's more like "I have <image of clock> left" because I intuitively know what the clock will look like when the time is up.
When I used to drink coffee, I took sugar in it. Sugar in diners often came in a dispenser[1]. I could tell when I had the right amount of sugar poured in from one of these even though it might clump on a humid day and pour freely on a dry day. With an analog watch, I can do this for time, but with a digital I cannot.
A digital watch requires much more conscious thought; if I log all my activities and make a spreadsheet &c. I can calculate a range of time it will take me for all my tasks, but with an analog watch I can just intuit it. To some personality types doing all of this seems to be enjoyable, but it's quite painful for me.
1: Like this: https://rapidswholesale.com/browne-halco-12-oz-sugar-pourer....
I also have an image for the year in my head when long term planning. It is dynamic and I see it from “today” wherever that is, and I approach upcoming events. It is cyclic in years but there is a difference between looking back on January which was and looking forward to the next January.