Played with a guy that every single time I tried to bring the ball forward with the goalie he would stuff it back in my goal. I learned not to do that.
Definitely shoot with the goalie, especially on a tornado table! You can do many different setups since you have three guys on the last bar, and fi you know what you're doing you can defend or even counter counters. Also, a good snake- or pin-shot from the goalie is often harder to read for the opponents defender due to the awkward angle. IMO, shooting with the goalie is fine aslong as you know what you're doing and it's not your main move in the back.
Uh...you can shoot with your goalie rods...I prolly score at least twice a match...if not more...beginners yeah not quite as good but over time its second nature for sure....banks...dinks...sliders...its there...you just gotta know what to look for