So, I've actually done this. The advice you're getting isn't wrong, per se, but it's just not as hard as everybody's imagining.
Cast iron sands pretty easy. Just go at it with a random orbit, and start around 120 grit to get a feel for it. Cast iron isn't steel, so start off easy and dial up the aggression as you see fit. If you like how it's going, and want to move down to 80g, go for it. Just watch your progress, and don't overshoot your mark.
Be careful with the iron dust. If the motor is exposed, cover it with a bag. The dust doesn't travel much, but it DOES stick to stuff. The dust will stain, too, so if you have an old junker sander, now is the time to use it.
I finished up with 320, and then one coat of wipe-on poly. I REALLY liked the result.