I agree on this, and tbh our whole league thinks the same. The new GUI is not as easy to navigate as before. And I don't mean it with bad intentions, we want this to be better and his input has good intentions.
You can press "league" on the home page under the standings. It might require a small scroll on mobile devices, that's all. Would you like me to also make the league name go to the league page at the top of the standings? That way you won't have to scroll.
IMO, navigation to the league page feels less intuitive because the buttons at the top of the home page are drawing the most attention. So your proposed solution could help. After the update, I subconsciously expected to find a large button for my league page along with the buttons for "Race", Community ", and "Hall of Fame". It doesn't bother me now that I'm familiar.