What’s the difference whether we view Judaism as our cultural heritage or we view Judaism as G-d’s program for us how to live?
A Midrash says that in the merit that Avraham told his guests, "recline yourselves under the tree," his descendants were given the mitzvah of sukkah. We know that shade from a tree is not a valid sukkah. Why was Avraham’s “proto-sukkah” a decidedly un-kosher sukkah?
Avraham's rooted tree is the symbol of human greatness while the detached branches that we use as s'chach represent growing beyond the heights of finite potential.
Based on Reshimos #62.