Goro's story is tragic. By all accounts Miyazaki is far from the perfect father, to put it mildly, and it's difficult enough to live up to the reputation of someone like Miyazaki even under the best circumstances. The only example I can think of where a son matches the reputation of a 1st rate artist father is the Scarlatti family. Although I think Goro has redeemed some of his reputation with Poppy hill.
Speaking of Shinkai, his Children who Chase Lost Voices is the finest Miyazaki/Ghibli pastiche I have ever seen, and very underrated. It may lack the emotional depth of Miyazaki's best works, but then that's something Miyazaki himself sometimes failed to do. As a homage it certainly is more than adequate.