At some point asymptotic looks pretty plateauish. That is also a caveat for the perfectionist learner, who can't appreciate that it may take 1000 pages of reading to progress the seemingly same functional amount that took half a page when they began studying a new field.
Definitely a problem for my DD in piano. A beginner lesson-book piece is not at all the same as a full work by Scriabin; it's just that 8 years of learning makes it
possible to consider tackling something like that, where incremental gains are about as much as
anyone can reasonably hope for.