This notion of playing differently because your STACK size represents 10% of your bankroll is insane. I just can't see it.
You are not risking 10% of you BR. You are risking 5%.
Your BR is the money you are not playing poker with. You withdraw 5% as that is a reasonable amount and allows you to cope with variance.
Once that 5% is on the table it is not in your BR.
The pot
odds are correct for a call QQ vs AK (provided you know its AK)
but you are treating the money as though it's still sat in your wallet.
Think of it like this. If you loose the hand, you loose your stack.. OK.. Ii think we all see that. We do not loose 10% of our BR. We loose only the 5% that we initially put on the table. In terms of BR loss its capped at the buyin amount. The fact that you have doubled up is incidental. You have entered a game that you are BR'ed for. You double up, but until it goes back into the BR, it is separate.
Another way of looking at it is this. You advocate playing only larger edges when the stack size increases. (QQ vs AK) was OK at 100BB, but 200BB you turn it down.
By that logic you are playing tighter as the stack increases.
Lets say you loose 50% of your stack.. now you have 50BB. Do you play wilder than before now you have less? Do you push smaller edges than before?
If you are tightening up through an increase in stack size then would you also loosen up through a decrease?
If that holds true then at least what you are saying is consistent. But if you now play SS strategy where you wait for quality
hands and then shove, surely you are looking for large edge to push hard.
Really if what you are saying holds water then SS strategy should be looking to shove with very marginal hands, is that the way you see it?
A bankroll is not the total money that you have it is the money which is not in play. Once its in play it is not in your BR because it is a risk. Even if you shove with AA preflop, that money is at risk.
To pose a slightly different question.. if you multitable 20 tables and buy in each for 5% of your BR... is that good or bad BRM? If you view your BR as all available money then its fine. If you make the distinction between BR and stack.. then you are playing with 100% of your BR.