I\'m developing a java EE web app using JSF with a shopping cart style process, so I want to collect user input over a number of pages and then do something with it.
Just in case you're not aware of this, and as a small contribution to the answers you have, you could indeed anotate a SFSB with @SessionScoped, and CDI will handle the life cycle of the EJB... This would tie an EJB to the Http Session that CDI manages. Just letting you know, because in your question you say:
but my research leads me to believe that a SFSB is not tied to a client's http session, so I would have to manually keep track of it via an httpSession, some side questions here . . .
Also, you could do what you suggest, but it depends on your requirements, until CDI beans get declarative transaction support or extended persistence contexts etc, you'll find yourself writing a lot of boilerplate code that would make your bean less clean. Of course you can also use frameworks like Seam (now moving to DeltaSpike) to enhance certain capabilities of your beans through their extensions.
So I'd say yes, at first glance you may feel it's not necessary to use a stateful EJB, but certain use cases may be better solve through them. If a user adds a product to his cart, and another user adds this same product later, but there is only one unit in stock, who gets it? the one who does the checkout faster? or the one who added it first? What if you want to access your entity manager to persist a kart in case the user decides to randomly close his browser or what if you have transactions that spawn multiple pages and you want every step to be synchronized to the db? (To keep a transaction open for so long is not advisable but maybe there could be a scenario where this is needed?) You could use SLSB but sometimes it's better and cleaner to use a SFSB..