Not saying non-24 is good for you, but for people unable to follow a 24-hour schedule, free-running sleep (which is what OP is doing) is vastly better than constantly pushing through sleep deprivation, when one's schedule allows for it.
Speaking as someone with non-24 myself (which is much more severe in the winter)
edit: after reading more closely, it appears OP has entrained to a 28-hour day rather than doing free-running sleep; 28-hour days are convenient in that the week gets sliced into 6 days and allows for a consistent weekly schedule. However, I suspect OP actually naturally gravitates towards a shorter day like 26 or 27 hours based on their napping patterns. I also wonder if they might even have more success with 24-hour days and regular exercise, as from their description it almost seems like the daily exercise practice which they started after the 28-hour day might be regulating their circadian rhythm to be closer to a natural day.
[1]: https://en.wikipedia.org/wiki/Non-24-hour_sleep%E2%80%93wake...
I exercised regularly before 28h days, and my sleep was still chaotic with that. I didn't exercise daily though, it was hard to fit everything I wanted to do on a 24h day. Having longer days means I can fit more things, which I think is one of the reasons why I increased the amount of exercise after moving to 28h.
I also haven't read any research on this, I just did what felt more natural and logical to me.
I remember so many people in my life being skeptical about my claim that I naturally have longer days than 24h. Then ~6 years ago I actually tested it; my watch recorded my sleep, and it became obvious:
https://photos.app.goo.gl/rTh2vkEMPEiJXx5Y7 [time-asleep graphed on a daily 24h chart]
And only then did I learn what a non-24 was.
That's exactly what this pattern is trying to avoid. For people whose sleep cycle is longer than 24h, a "normal" rhythm makes every single day a jet-lagged day, and in the "wrong" direction (it's easier to travel west/stay awake longer rather than travel east/go to bed earlier for most people).
I don't see anything problematic with TFA's 28-hour days.
A few months ago I finally got a CPAP machine after getting a sleep study due to abnormal blood pressure patterns (my blood pressure wasn't dropping overnight on a 24 hour monitor). I can now wake up feeling alert and ready to go after 6 hours of sleep (even though I could use a little bit more); I haven't felt rested this way in the morning since more than 15 years ago in my 20s. I'm not particularly overweight, nor do I snore, so it's worth checking into if your sleep patterns tend towards abnormal.
In the winter I can do 12 hours pretty often. It's not always but every few years I get a few weeks or months of 12 hour nights.
I love sleep.
Human body can be really bad at adapting to unworldly environments to the point you totally break down.
You seem oblivious to the decades of research into chronobiology and studies into shift work, jet lag, etc.
Your loss.