It would be very useful if those who want the "estimated pay per block" number back could explain what they get out of it.

Here is how I see it:

The shifts page shows how much work you did at which time and how well it was paid. The payment for a block is many of these lumped into one bigger number, which is much less informative.

Imagine you do a little mining for a couple hours in the morning. Later you mine a couple hours in the evening. We find a block and both the morning and evening work is paid. Later we find another block and only the evening work is paid, as the morning work is no longer among the 10 latest shifts.

Looking at the two payments you got one big first and then one small payment later. You could look at the time the blocks were found and correlate that with your work in the 10 latest shifts at the time, and you'll understand what's going on. But most people won't. They will believe they are being punished for not mining 24/7. Or that "I need to wind up that PPLNS-thing, so I get paid fairly again."

Looking at the new shifts page you can instead look at how much work you did in the morning hours, and in the evening hours. And you can see that the morning work was paid an average rate, while the evening work was luckier and received double that.

I really believe this shows much better the relation between work you did and the pay you received.

What is perhaps missing is showing the 10 paid shifts on the block page (when you click a block in the block list). Would that be of help?