The WS-BA protocol is almost entirely modeled after BPEL. WS-BA participants map one-to-one to BPEL compensation scopes. Because BPEL doesn't provide close handlers, neither does the WS-BA protocol allow application logic on close. The implication? If you model your services as WS-BA services then you remain 'in-doubt' about every service invocation (in theory, the WS-BA close event would notify you that the deal is closed, but you're not supposed to do business logic in that callback so it might as well not be there).
To give an example: if you are an airline and want to use WS-BA to make seat reservations transactional then you would never know whether any reservation needs to be canceled or not. More precisely: it will always be possible for any of your current reservations to be compensated at some later time.
The bottom line for you as a service provider: compensation is always possible. The consequence is far-reaching: how do you produce sales reports? You can't, unless you accept that you are dealing with temporary data (that may later be compensated for). Every single sale you made can theoretically still be compensated.
Fortunately, WS-BA and BPEL allow you to model compensation as something that costs to the customer, so your sales reports may not suffer that much from compensation after all. But this leads us to another problem I have with WS-BA/BPEL: if you model compensation as something that leaves tangible effects (costs?) for the customer then what good is it for me to have that kind of transactional guarantee? After all, BPEL also says that compensation can be triggered by the failure of a parent task. So my customer may have to pay for my service just because some intermediary task has failed! I am not sure if it is just me, but I think this is a big problem.
One more point I have to make about WS-BA is that it appears polluted with workflow messages that don't really contribute to the purpose of an agreed outcome across services. For instance, the 'Completed' message seems to be there just to indicate whether a participating service should be canceled (leave no effects) or compensated. But like I argued before, cancelation can still lead to compensation somewhere down the call stack so this is an utterly useless protocol message anyway. It only makes sense in the context of BPEL. And since BPEL is workflow, WS-BA is a workflow protocol and not a transaction termination protocol. In terms of efficiency it isn't exactly very good either: there are too many unnecessary message rounds involved. It could all have been much simpler.
My advice: use the Atomikos TCC (Try-Confirm/Cancel) paradigm if you want really reliable and compensation-based web services. It is faster, better and leads to real business-level consistency across service invocations. You will at least know that your sales reports are permanent and correct, and your customers won't pay for failed business transactions.