These are the results of Yanyu generating horoscopes for various people. In order to do a horoscope some basic information is needed. (Yes, it's a Power 5 information shtick, but alas we can't just get a horoscope for the Obsidian Warlord or whomever unless we also have his date and place of birth.)
Zhu Cai Wen
(Done between A River Befouled and Compass Rose)
His great strength, and his most auspicious futures, come from his building connections - both to himself and between others. Because of this, he is less well suited to a single strong connection to one person, and this is kind of sad (from your point of view) - he's most likely to have lots of girlfriends but never marry.
He was set up to oppose Lucky Chang by the Butterfly, even before the run started. The Hand of Fate will likely help some, but it will not bring him to that crux by itself. If he doesn't have a good set of connections by the time he engages Lucky Chang, he will lose.
Shen Wei Han
(Done after Compass Rose)
If the location of his birth (a village in the foothills of the Roof of the World - near the Qin Chao Steppes border) is correct then he is considerably older than 30 winters.
(Done during Book 2)
There are two different things that his life has the potential to entangle with, and both of them seem fairly likely. One is clearly the complicated path tied up with the rest of the party - there are chances for glory there, but also death; high honors or ignominy. The other path is in many ways more personal, and you think this has to do with his vendetta against the tongs. This also has different ways it can go - there is an opportunity for love, but also heartbreak and betrayal, of loyalties greatly tested and questions about family. There are at least several possible threads of his future in this tangle, in which he kills someone who he shouldn't / didn't want to / immediately regretted / something.
"Lucky" Chang Wuyong
He's definitely a Spider.
His early years taught him to hate being poor. A shaping event when he was young taught him to hate being the manipulatee rather than the manipulator, and taught him the value of manipulation.
These two forces drove his early path, towards the gathering of wealth and control (though it took him a while to actually get good at it).
About ten winters back, his path took a sharp uptick from "general gathering of wealth and control" to "alliance with others for much greater wealth and control", and that has continued since.
He is very ambitious, very smart, very charismatic, somewhat vindictive, and always calculating the odds.
Looking towards his future, the next ten years are momentous - they will shape both his own destiny, and that of the whole Empire.
He could become Emperor. (There are really not very many people about whom that could be said, so it really stands out in the horoscope.)