In the short run yes it will because more banks will be giving out loans to more people which means more offers that you as an investor will have to compete with. In the long run no it will not because this will drive the prices of homes up slowly as more and more people buy giving you a better return on investment when you sell later on down the road.
It is hard to generalize what banks will or won't do because there are to many vaiables. Different banks have different policies and every property is unique. For example a bank owned home that has been on the market for quite some time might look at an aggressive offer and be willing to act just to get it off of their books. On the other hand if a bank owned home is fairly new on the market they might sit on it for a while before looking at more aggressive offers.
At the end of the day good deals ARE happening and now is the time to act. Market shifts happen very quickly and Ft Worth, Dallas, and Houston markets are the top 3 least risky markets in the nation for price decreases (less than a 1% chance in 2 years). If you would like an executive market report done by Residential Strategies please contact me and I will send it to you immediately.