I don't think sportsbooks would really care, because it doesn't really affect them and attracts more volume. 1 site won't offer an arbitrage bet, you usually have to use multiple. Whether the player placed a bet on another book doesn't affect them. The program sounds very interesting, I have seen software for Fiat books that do that, but never a bitcoin one. Are you going to sell the software?
Send me a PM as well, if your willing to share more info.
Edit: Hey look! While I was typing this, another spammer posted without reading the thread!
Sadly sports books hate arbers, and would ban or limit you to peanuts. The thing you have to understand about arbs are that you are always taking the best prices possible or tapping the odds when they are out of line. Op I am very interested in your software. Pmed you.
This is both true and false at the same time.
Sportsbooks know about arbing, and some times take advantage of it. The main goal of a bookmaker is to keep their books balanced (meaning all sides of the bet are equally favored) so they can make a profit (their profit can be calculated if you add all their odds together. you end up with a number greater than 100. if you subtract 100, this is their profit margin) no matter the outcome.
So, when they have an unbalanced event, they raise the odds of the unbalanced side (sacrificing some of their profit) and rely on arb finders to detect this change in odds and drive bets to this side of the bet.
Yet, bookmakers related to fiat currency have been know to arbitrarily ban some people simply because they are winning often, so the bookmaker is losing. On fiat bookmakers this is a huge problem due to verification. Each account must be verified by providing ID or other official document and proof of address. So, if you get banned (they don't keep your money, they just pay you everything and close your account), you cannot re-open an account because you will not be able to verify it. Yet, most BTC sportsbooks are anonymous, meaning you can open an account just using your e-mail, so even if you get banned (which I haven't seen anywhere happen yet), you can re-open a new account in seconds.
As for the software, there are indeed many arb-detecting services for fiat currency sportsbooks and they have thousands of customers. This makes it hard to grab a good opportunity because other people may be faster and the odds will get adjusted fast.
To the best of my knowledge, there is no such service for BTC sportsbooks. I have been working on mine for quite a while now, and I will soon start to monetize it (either by selling subscriptions, or by keeping it private and try to find investors to lend me large sums of money in order to take advantage of the arbs and make them a profit and myself a cut).