Yeah, that probably has more deep baggage to unpack than most of us native speakers are capable of. The connotation of “good” is basically a sort of empty positive assessment. It doesn’t tell you anything about why it just assigns positive value. “Important” implies that there will be some kind of negative consequence for not doing it. Or maybe “good” is more about moral while “important” is more focused on the practical.
When I say, “It’s good to brush your teeth” the implication is that you are good if you do it, and you are bad if you don’t do it. If I say, “It’s important to brush your teeth” then the implication is that if you don’t do it something bad will happen.
I think the thing about the word “good” (“great”, “excellent”, and many others work the same) is that we use it for everything. It simultaneously means something is moral and valuable and useful and any other positive thing you can think of. You can use it without providing any context at all. I could say someone is a good basketball player. I can’t say they are an important basketball player without providing some kind of context (e.g. Kawaii Rice was important to Toronto’s championship win).
