frongi,
given the hypothesis that you have no limits and that you do not know which of the bookies is overevaluating odds, you are correct and arbing gives more money back, without any chance related risk.
Given the hypothesis that you do have limits and that bookie "A" usuly dosen't overevaluates odds(cause you notice that after a number of 10k bets with that bookie you are losing money to them and winning at other bookies), you will win more money overtime if you do not place the part of the arb with the "A" bookie, but you do so with chance related risk.
given the hypothesis that you have no limits and that you do not know which of the bookies is overevaluating odds, you are correct and arbing gives more money back, without any chance related risk.
Given the hypothesis that you do have limits and that bookie "A" usuly dosen't overevaluates odds(cause you notice that after a number of 10k bets with that bookie you are losing money to them and winning at other bookies), you will win more money overtime if you do not place the part of the arb with the "A" bookie, but you do so with chance related risk.