I advise you not to participate in arbitrage betting practices. this is a guarantee for problems with bookmakers. they can close your account and not cash out your winnings. if you want money without taking risks, you should go to work and not gamble
It depends on where you live but most likely they cannot deny your winnings as you did not cheat, however bookmakers especially local ones are going to notice really quickly that you are winning money and that you are in fact choosing the best lines over and over again so eventually you will be banned to gamble there, this is why when it comes to arbitraging opportunities it is better to take your activities online as there are thousands of casinos that you can use if you happen to be limited or banned in one of them.
It's not that hard to prevent yourself from getting banned when you are winning, you can always use other people to bet for you. I think sports bookies would not banned you if you they getting equal action and they remain profitable, it's just normal that some are winning and some are losing, what's important is their operation is profitable.