I agree with most of your post as you obviously know your stuff, but I'm going to have to disagree here.
The tires are way way too sensitive to load. You literally cannot push. I agree the tire model shouldn't allow you too push 100% on softs for the whole race. The new tire however doesn't let you push at all you have to baby them all the time. It just needs to be turned down a little. When I say push I mean run lap times that will win the race no matter who your racing against.
Edit: Times aren't any slower or faster as long as you baby the tires on the out lap.
I often read F1 radio transcripts (Yes that's how much of a motorsport nerd I am lol), and drivers regularly complain that their tyres are going off towards the end of a flying lap in qualifying. This is dependent on circuit, as some circuits are just harder on tyres than others of course, but it's a very regular thing for a race driver to encounter.
You manage your temps on the outlap, and then push hard for one fast lap, often finding if you push a little too hard in the first two sectors, you won't have the grip you want for the final sector.
Because of this, drivers need to take into account which sector is most important to have the most grip for, and if it's the final sector, they'll have to nurse the tyres more in the outlap and start with less temp for the first sector, and often not push at all for the first sector, in order to maximise grip in the more important final sector.
During the race, drivers are nowhere near the limits of the tyres absolute grip, because doing that will ruin the tyres in only a few laps. The best drivers can ride that perfect line between pace and management that will give them good pace, but not overdo the tyres.
A good example of this is the difference between Sebastian Vettel and Kimi Raikkonen. They've been in identical cars for a year, and Kimi, despite being very good at conserving tyres earlier in his career, is proving to be much slower toward the end of stints, often having overdone his tyres and complaining over the radio that they're done, when the team is trying to stretch out his stints. Seb, on the other hand, seems to post very consistent times, and there have been a number of races this year where he has been very clever with the tyres.
Singapore is one race where Seb was trying out different tyre management strategies. His first stint he went hard for three laps, pulling 2 seconds per lap on Dan Ricciardo in second, and then tried to manage this gap for the remainder of the stint, but he pushed a little too hard, and found it difficult to manage the gap, Dan ended up reeling him in progressively from lap 4 onward. His second stint he did the opposite, and drove as slowly as he could without allowing Dan a chance at a pass, and then when he was close to his pit window he laid down a set of 3 or 4 astonishing lap times and put a big gap behind him in order to have a buffer for his next stop.
The best drivers can win a race in the longest time possible. Single lap pace is but a tiny portion of what makes a good driver. Ask Rosberg, before his last two wins, he had converted only 2 of his last 12 poles into victories.