My bad, this new scenario certainly changes the complexion of the situation and imo their are several reasons why shooting the 3ball is worth consideration, dependent on the skills of the shooter.Billy, you're not paying attention :frus playing safe off the 4ball is not an option - did you not see the edit I made after I reviewed the original thread ----->
This new situation can possibly be figured out by using math, not to give you an exact percentage (because of the uncertainties) but to offer you a reasonable conclusion on how things may come down.
The 5ball is in a position that only favors the shooter and is actually a detriment to the opposing player, if it could speak it would say to shoot the 3ball I got your back. The 1ball favors the shooter as well, however, it can be made by the non shooter two in the corner but it still favors the shooter, and for that reason it shouldn't be considered a deterrent for the shooter not to shoot the 3ball.
The position of both the 5ball and 1ball are a huge factor in deciding whether to shoot or pass with the 3ball, because of the position of both balls this situation can be more easily judged by using math.
With this new perspective now the shooter should reasonably conclude that by opting to shoot the 3ball if missed he is only losing one extra ball, and that's providing that the missed 3ball ends up in a position that the incoming player can score it from. The 3ball could be struck well enough to be hung if missed, and that's also a large factor in the decision of shooting or not.
Lets assume that the shooter is even money to pocket the 3ball (50%-50%)
If the same situation shows itself 10 times the shooter will win 5 games out of the 10 games that are played (only for the battle of the 3 and 4ball) because that's the rate that the 3ball will be pocketed ..5 out of 10 games. The other 5 games the incoming player figures to score both the 4ball and the 3ball 4 out of those 5 games. (reasonable conclusion) and the one time he doesn't shooter A will win that game for a total of 6 wins in 10 games (only for the battle of the 3 and 4ball)
The above explanation is a fair way to look at the 3ball and 4ball situation, in terms of only pocketing the 3 and 4ball. The 1ball and 5baLL are a non issue because of their position and shouldn't be factored into the equation with deciding to shoot the 3ball. So the above paragraph that shows the shooter that shoots the 3ball will win 6 out of 10 games (only for the battle of the 3 and 4ball) is a reasonable conclusion, but not exact, but reasonable enough to make a some what informed decision.
There are a lot of considerations to think about when shot choices are being processed, I mentioned a few of them in the paragraphs above. Get what you can get from my list of things to consider..though there are many more that haven't been mentioned, but what was offered is food for thought and will help you make decisions in crucial times..hopefully.