Moving up and down at a linear rate would result in a saw-tooth-like wave, but the length of days change in a sine wave. Why not have the clocks sync themselves to sunrise time based on their timezone and latitude? I don't think this would be much different, in practice, than changing times at a linear rate.
This would lead to a monumental amount of confusion.
The primary time keeping device in my house is the clock on my stove; I wear old school watches a lot; and most of my cars are old and have old clocks in them. I can't be the only one, so multiply this by at least a few million other people in America alone.
Sure, you can tell everyone they need to ditch dumb clocks and replace them with internet-enabled smart clocks. But I think that's a far more onerous undertaking than just dealing with the fact that solar time and clock time are mismatched.
More than one car per individual seems already such a waste but multiplying this at million people level, is that a real thing in USA or are you just extrapolating in your own social bubble? I mean, I must admit that I had the thought that this was just a troll that leverage on gross exaggeration of some American stereotypes, but actually I just can't decide if you are plain serious about these statements.
Adding to my sibling comment, time is also mostly used as a coordination system.
Being offset by a few minutes would make aligning meetings with your remote coworker an even bigger nightmare than it is now.
