"when" can mean two different things in that English sentence.
The "when" could serve to mark the location in time, or to ask about the location in time.
As a marker, "I wanted to remember when you started" would mean that the answer to "When did you want to remember?" was "When you started". It's the "when" in "He started to cry when he saw that he had broken the vase".
But what "I wanted to remember when you started" doesn't use this when to situate the "I wanted to remember" in time -- instead, the "(the time) when you started" is sort of like a noun phrase, the object of "I wanted to remember", the thing that you wanted to remember.
That's why it's not a pan situation, I think.
....I'm sorry, that wasn't a "quick answer", was it!