it feels to me that RedBaron has a higher than avg checkback with strong hands this kind of line might be spewy vs him

what's a strong hand to check back here? K7 is probably fairly in line with solver solutions. I would say 2 pair or better is a strong check back, and overbetting starts to become a bad sizing if anyone is checking back those hands at a higher than optimal frequency. I'm not sure how baron plays these spots. I think how both people play this hand, it looks fairly normal.

Shouldn't we choose check back most hands here in theory ? Especially if I want to go half pot or bigger and not small

Not having JJ QQ KK AK KQs and playing mixed with the other Broadways damn hurts if you bet too much it's a nightmare to deal with check raises and overbet lines like this and there's a million hands that are weak here that checking back most if our hands, being able to call down and play aggressively on turn+river seems good to me
Curious what pio says but if you lock it to one larger sizing or check on flop that's what I'd expect

im guessing pio checks back all the weak Kx very often, some % of two pairs, and some % of straights. the more strong hands you can check back the smaller they have to make their overbet on the turn. havnt got time to sim it atm