okay here is more realistic picture..BB does not play against JJ, he plays against CO open range. Let's say CO raises 2.22BB with the following hands
In response BB either shoves with these hands:
and CO calls with 100% of his range
or BB calls with the some of remaining hands like this:
and OTF he makes the following decision:
- if he has TP, FD, OESD or GS he shoves and CO calls with the whole range
- otherwise BB folds
the EV(in chips) calculation gives the following:
the entire game like this is -EV for BB, right. On average he loses ~2400 chips. If he just shoves with the recommended range and folds otherwise he loses only 1445 chips on average
So, yep, you are right, the BB's strategy to call with hands that he does not shove pre but jams OTF with GS/FD/TP/OESD is not that good at all...