Hi guys.
Not the first time faced with such situations when good opponents check ip such strong hands.
I'm not agree with opponent line. Q4s need a protection And it seems like a good equity against opponent's range. We does not block Ax hand. And Ad is one of the best turns for BTN range.
But when a good opponent that you do not understand, it is worth considering.
And the situation is really very simple. At first glance. 2 pair on drawy board = EZ bet.
So, I decided to work in Pio with this hand. And the results are in my opinion a bit strange.

So on flop Pio advice bet with Q8s,Q8o in 100% situations 84s -100%, But Q4s in 63%.
On turn Pio want bet Q8s,Q8o in 90%, 84s ~100%, but advice bet with Q4s only in 10%, and check another 53%.
I don't understand why. Yes, we blocked some Qx hand, but Q8 blocked it too.

What is check reason on turn with this hand, and not 2pairs stronger or weaker?

A check on the flop it is not quite clear. A more logical check 2 pair like Q8 (we blocked 2 high card on board). Or not?

Some Piosolver screenshots
tree

BTN flop decision

BTN turn decision