Every time we find a block, we pay the shares for a certain amount up to when the block was found.
Thoughts on an adjusted version of this:
Every time we find a block: 1. Rewards for recently matured (unpaid) blocks are released, 2. You earn rewards for your accepted shares for a certain amount up to when the block was found.
I also thought it's a good time to send a reminder plug for
Zach's monitor.
All newbies should take a look at it for a different perspective for kano.is published stats and as a supplemental tool as mentioned in the OP.
Well that's a technicality that isn't an understanding issue

OK then it should read
Every time we find a block, we reward the shares for a certain amount up to when the block was found.
That 'technicality' is described quite clearly at the bottom of the payouts page.
(and every pool has a 'technicality' of rewards->pay)