Note that what that page is talking about is quite different from what I was wondering about.
It's talking about replacing time zone based clock time with local noon based clock time. Each current time zone would go from having one time within it to having 3600 times within it (assuming clocks only keep time to 1 second resolution).
That has many drawbacks which your link ably covers.
What I'm talking about is adding a second kind of clock time within each time zone. Each time zone would have two times within it, the current time, which I'll call zone based time (ZBT), and a time that keeps sunrise fixed, which I'll call sunrise based time (SBT).
It's not meant as a replacement for time zones like the thing in the link. It's meant to address the same issue as daylight savings time--better utilization of daylight during the summer.
Many proponents of eliminating the twice yearly DST time change acknowledge that we probably still should have some kind of seasonal schedule adjustment at latitudes where there is a big different between the amount of daylight in summer and winter, and usually suggest we do it by changing the hours of things like work and school.
E.g., instead of working 8 to 5 year around, we'd work 8 to 5 part of the year and 7 to 4 part of the year.
You can divide everything into two categories: (1) things whose times change between winter and summer, and (2) things whose times do not change.
The idea then is to put these categories on separate clocks. Things in category #2 are on a clock that does not have any notion of standard or daylight time. It just ticks on, 24 hours a day, 7 days a week. Things in category #1 are on a clock that does get adjusted.
So instead of having to note the date, recall if that is in the range of dates during which we shift work an hour, so you know if you need to be in by 7 or by 8 that day, you'd just have to remember that your work schedule is on the SBT clock, not the ZBT clock, so you go to work the same time every time, year around, on your SBT clock.
But why stop there? If the SBT clock just changes by an hour twice a year it has all the disruption that the daylight savings time has. If we are going to have a separate clock for those things we want to vary seasonally, and that clock is going to automatically adjust, why not go all the way and make it adjust daily?
For each region, we can figure out the best way to make use of the available daylight for each day throughout the year, and have SBT time make it so 8 to 5 on the SBT clock each day fits in with that.
Do this right and there are no more big schedule jumps, and most people will be able to have a sleep schedule that allows them to wake up naturally due to the brightening morning instead of having to regularly use an alarm clock.
This might seem like it would be pretty inconvenient because you'd be constantly dealing with some things on SBT and some on ZBT...but would you? Most things you do locally that aren't directly tied to work or school are still going to be influenced by them, because we need to fit other things around them.
So I think we'd end up using SBT for most of the stuff we deal with in our region. We'd most use ZBT for things outside the region. For instance, TV networks would be on ZBT. But most people do things like watch TV in the evening. I think what would happen is that you'd use SBT during the work/school day, and when doing other things in your city, then after dinner you'd stop looking at your SBT clock and start paying attention to your ZBT clock.