Quite true. My homeschooled children all succeeded at the higher level, ie college, math classes that I did not have to take (it was the 70s and early 80s -- no core math requirements). Also, they matched my ability in English literature and writing, which were my strong points.
And you are also right that I enjoyed learning new material along with my children, and as to those math deficiencies of mine -- well, I pretty much finally grasped algebra after helping several children learn it! I think that is called a "win/win."
And we did it on pretty much a shoestring budget -- education doesn't really cost all that much.