You are 100% right. For me, the most important thing is that the LLM teacher allowed me to break through my algorithmic ignorance in just one week.
The rest is somehow orthogonal to the LLM and is just pure practice. It is very easy to procrastinate with an LLM without actual practice.
It allowed me to actually see the problem space and something like the "beauty of classical algorithms". It shifted my "unknown unknowns" into "known unknowns". I had failed so many times to achieve exactly that without an LLM in the past.