This all looks unnecessarily complicated. I had really bad posture for most of my life and I fixed it with two things: deadlifts and cable rows. After the major muscular weaknesses are corrected (and those two exercises will correct them), it's just a matter of habit correction- stand while you work, walk with your stomach tight and shoulders back, don't let yourself slouch when you sit, etc.
This ain't rocket science. You don't need to spend an hour a day with 10 different exercises. You can fix the muscular weaknesses in 30 minutes, once a week.
If your posture problem is related to too poor flexibility, deadlift will not fix the problems. On the contrary, you can potentially put your back at severe risk as your form will break down.
You don't need to spend an hour a day, but not nearly all posture issues are down to muscular weakness.
For my part, I discovered my posture problems as a result of deadlifts and squats, that eventually got to sufficient weight that I was unable to compensate or work around the underlying lack of flexibility and ended up dangerously close to properly hurting my back.
The key with deads (or any other lift) is to get the form right first.
Doing full ROM lifts will improve your flexibility. I find this holds true more for squats than deads, specifically (you're getting pressed down with the bar, and have to retain proper back/spine alignment), but it's all useful.
If your form's breaking down, you're lifting too heavy.
What causes other than muscle weakness do you identify as causing posture issues?
If you're not flexible enough, you're not able to do full ROM lifts with proper form.
Once you're flexible enough to actually do the lifts properly, I agree you will see it improving further. But if you're flexible to do the lifts properly, you don't really have a problem.
When I started was not physically able at all to get reasonable depth in my squats before I would either need to stop or curve my back, no matter the weight. I also could hardly bend over while keeping my back firm - it'd be like stretching a violin string along the back of my legs.
A couple of months of stretches from my pysiotherapist got my squats from about 60kg to about 140kg in less than 6 months, after I'd spent the previous 6 months stalled completely because any attempt to go higher led to total form breakdown, and a lot of time before that with abysmally slow progress.
Doing squats (and, if necessary, additional mobility work) will increase your flexibility.
Doing light / BW / goblet squats is very low risk, and will help iron out your form.
My point is that if your form is crap, and you're using any added load, then you're going too heavy. If your form is crap at BW (and adding a modest load, 45-95# for most trainees) doesn't iron that out (sometimes a bit of "bar discipline" does help sort out form), then, yes, work on form.
My experience is that you want to eliminate the obvious and simple stuff first (Occam's Razor), and that for most trainees I've seen, starting with simple cues and light weights addresses form issues sufficiently. KISS.
Given that poor posture seems, at least in my case, to be a lack of good habit, how did you address this part? The exercises are intentional and engage the mind actively. But bad posture is what I do when I'm not paying attention... this seems particularly important if the OP is correct in stating that exercise will improve already good posture and further degrade bad.
This ain't rocket science. You don't need to spend an hour a day with 10 different exercises. You can fix the muscular weaknesses in 30 minutes, once a week.