Yes, only a fraction of the work is “good” work in that sense. The fast workers get many more opportunities to get it. It’s like the fast worker buying ten lottery tickets and the slow worker buying one. She who buys ten tickets has ten times the chance of winning, even if she buys nine losers.
That’s not how it works in the companies I have seen. The people who get the “good” work have good connections with management and know about the “good” projects before anyone else. Fast workers just get more work of the same kind if they don’t know about the interesting projects.
I often feel being too good at the daily grunt work makes you too important for that and management wants you to stay there.